MAT 300 Unit 3 Milestone 3 Exam Answer Sophia Course Many Sets Click below link for Answers https://www.sobtell.com/q/tutorial/default/206480-mat-300-unit-3-milestone-3-exam-answersophia-cour-100ui https://www.sobtell.com/q/tutorial/default/206480-mat-300-unit-3-milestone-3-exam-answersophia-cour-100ui
1 Which of the following is an example of a false negative? Test results indicate that a woman is pregnant when she is not. Test results confirm that a woman is pregnant. Test results confirm that a woman is not pregnant. Test results indicate that a woman is not pregnant when she is. 2 Sarah throws a fair die multiple times, recording the total number of "2"s she throws and then calculating the proportion of "2"s she has thrown so far after each throw. She then constructs a graph to visualize her results. Which of the following statements is FALSE? The relative frequency of "2"s thrown changes as Sarah throws the die more. The probability distribution for the possible number of outcomes changes as the total number of throws increases. The theoretical probability of getting a 2 is 0.167 for each throw. This is an example of the law of large numbers. 3 For a math assignment, Jane has to roll a set of six standard dice and record the results of each trial. She wonders how many different outcomes are possible after rolling all six dice. What is the total number of possible outcomes for each trial? 7,776 216 46,656 36 4
The gender and age of Acme Painting Company's employees are shown below. Age Gender 23 Female 23 Male 24 Female 26 Female 27 Male 28 Male 30 Male 31 Female 33 Male 33 Female 33 Female 34 Male 36 Male 37 Male 38 Female 40 Female 42 Male 44 Female If the CEO is selecting one employee at random, what is the chance he will select a male OR someone in their 40s? 1/2 1/18 1/3 11/18 5 A credit card company surveys 125 of their customers to ask about satisfaction with customer service. The results of the survey, divided by gender, are shown below. Males Females Extremely Satisfied 25 7 Satisfied 21 13 Neutral 13 16 Dissatisfied 9 14 Extremely Dissatisfied 2 5 If a survey is selected at random, what is the probability that the person is a female with neutral feelings about customer service? Answer choices are rounded to the hundredths place. 0.13 0.5 0.29
0.81 0.19 6 Select the following statement that describes non-overlapping events. Jon wants a face card so he can have a winning hand, and he receives the eight of clubs. Receiving the King of Hearts fulfills Jon's need of getting both a face card and a heart. To win, Jon needs a red card. He receives a Queen of Diamonds. Jon needs to roll an even number to win. When it’s his turn, he rolls a two. 7 Mark looked at the statistics for his favorite baseball player, Jose Bautista. Mark looked at seasons when Bautista played 100 or more games and found that Bautista's probability of hitting a home run in a game is 0.173. If Mark uses the normal approximation of the binomial distribution, what will be the variance of the number of home runs Bautista is projected to hit in 100 games? Answer choices are rounded to the tenths place. 14.3 17.3 0.8 3.8 8 There is a 30% chance of rain tomorrow. What are the odds in favor of it raining? 10:3 3:7 3:10 7:3 9 A bag contains 8 red marbles, 7 blue marbles, and 6 green marbles. Adam randomly picks out a marble from the bag. What is the theoretical probability that Adam will pick a blue marble from the bag? 1/3
10 Dan is playing a game where he selects a card from a deck of four cards, labeled 1 , 2, 3, or 4. The possible cards and probabilities are shown in the probability distribution below. What is the expected value for the card that Dan selects? 3.5 2.0 1.0 2.5 11 Eric is randomly drawing cards from a deck of 52. He first draws a red card, places it back in the deck, shuffles the deck, and then draws another card. What is the probability of drawing a red card, placing it back in the deck, and drawing another red card? Answer choices are in the form of a percentage, rounded to the nearest whole number. 4% 25% 22% 13% 12 Using this Venn diagram, what is the probability that event A or event B occurs? 0.60 0.42 0.78 0.22 13 John makes random guesses on his multiple-choice test, which has five options for each question. Let the random variable X be the number of guesses taken before guessing correctly. Assuming the guesses are independent, find the probability that he doesn't guess correctly until his 6th guess. 0.0789
0.0655 0.3521 0.3277 14 A bag holds 20 red marbles and 40 green ones, for a total of 60 marbles. Ryan picks one marble from the bag at random, hoping to pick a red marble. Which of the following statements is true? The probability that Ryan will pick a red marble on the first try is 33%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble increases. The probability that Ryan will pick a red marble on the first try is 67%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble increases. The probability that Ryan will pick a red marble on the first try is 67%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble decreases. The probability that Ryan will pick a red marble on the first try is 33%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble decreases. 15 Which of the following is a property of binomial distributions? The sum of the probabilities of successes and failures is always 1. The expected value is equal to the number of successes in the experiment. There are exactly three possible outcomes for each trial. All trials are dependent. 16 The average number of tunnel construction projects that take place at any one time in a certain state is 3. Find the probability of exactly five tunnel construction projects taking place in this state. 0.10 0.023 0.020 0.048
17 Luke went to a blackjack table at the casino. At the table, the dealer has just shuffled a standard deck of 52 cards. Luke has had good luck at blackjack in the past, and he actually got three blackjacks with Queens in a row the last time he played. Because of this lucky run, Luke thinks that Queens are the luckiest card. The dealer deals the first card to him. In a split second, he can see that it is a face card, but he is unsure if it is a Queen. What is the probability of the card being a Queen, given that it is a face card? Answer choices are in a percentage format, rounded to the nearest whole number. 77% 8% 4% 33% 18 Kyle was trying to decide which type of soda to restock based on popularity: regular cola or diet cola. After studying the data, he noticed that he sold less diet cola on weekdays and weekends. However, after combing through his entire sales records, he actually sold more diet cola than regular cola. Which paradox had Kyle encountered? False Positive Simpson's Paradox Benford's Law False Negative 19 What is the probability of NOT drawing a Queen from a standard deck of 52 cards? 12/13 20 Zhi and her friends moved on to the card tables at the casino. Zhi wanted to figure out the probability of drawing a King of clubs or an Ace of clubs. Choose the correct probability of drawing a King of clubs or an Ace of clubs. Answer choices are in the form of a percentage, rounded to the nearest whole number. 6%
8% 4% 2% 21 Using the Venn Diagram below, what is the conditional probability of event A occurring, assuming that event B has already occurred [P(A|B)]? 0.22 0.05 0.10 0.71 22 Fifty people were asked whether they were left handed. Six people answered "yes." What is the relative frequency of left-handed people in this group? Answer choices are rounded to the hundredths place. 0.12 8.33 0.88 1.14 23 Two sets A and B are shown in the Venn diagram below. Which statement is TRUE? Set A has 12 elements. Set B has 5 elements. There are a total of 17 elements shown in the Venn diagram. Sets A and B have 15 common elements. 24 Patricia was having fun playing poker. She needed the next two cards dealt to be spades so she could make a flush (five cards of the same suit). There are 12 cards left in the deck, and three are spades.
What is the probability that the two cards dealt to Patricia (without replacement) will both be spades? Answer choices are in percentage format, rounded to the nearest whole number. 18% 25% 5% 17% 25 Which of the following situations describes a continuous distribution? A probability distribution showing the amount of births in a hospital in a month A probability distribution showing the average number of days mothers spent in the hospital A probability distribution showing the number of vaccines given to babies during their first year of life A probability distribution showing the weights of newborns 26 Jake tosses a coin and rolls a six-sided die. All of the following are possible outcomes EXCEPT: Tails, Three Heads, Seven Tails, One Heads, Five 27 A credit card company surveys 125 of its customers to ask about satisfaction with customer service. The results of the survey, divided by gender, are shown below. Males Females Extremely Satisfied 25 7 Satisfied 21 13 Neutral 13 16 Dissatisfied 9 14 Extremely Dissatisfied 2 5 If you were to choose a female from the group, what is the probability that she is satisfied with the company's customer service? Answer choices are rounded to the hundredths place. 0.24 0.13
0.62 0.38 MAT 300 Unit 3 Milestone 3 Exam Answer Sophia Course 1 A basketball player makes 60% of his free throws. We set him on the free throw line and asked him to shoot free throws until he misses. Let the random variable X be the number of free throws taken by the player until he misses. Assuming that his shots are independent, find the probability that he will miss the shot on his 6th throw. • 0.01866 • 0.04666 • 0.00614 • 0.03110 2 Kate was trying to decide which type of frozen pizza to restock based on popularity: pepperoni pizza or sausage pizza. After studying the data, she noticed that pepperoni flavors sold best on the weekdays and on the weekends, but not best overall. Which paradox has Kate encountered? • Benford's Law • Simpson's Paradox • False Negative
• False Positive 3 Colleen has 6 eggs, one of which is hard-boiled while the rest are raw. Colleen can't remember which of the eggs are raw. Which of the following statements is true? • The probability of Colleen selecting the hard-boiled egg on her first try is 1/5. • If Colleen selected one egg, cracked it open and found out it was raw, the probability of selecting the hard-boiled egg on her second pick is 1/6. • If Colleen selected one egg, cracked it open and found out it was raw, the probability of selecting the hard-boiled egg on her second pick is 1/5. • The probability of Colleen selecting a raw egg on her first try is 1/6. 4 The average number of road accidents that occur on a particular stretch of road during a month is 7.
What is the probability of observing exactly three accidents on this stretch of road next month? • 0.020 • 0.052 • 0.023
• 0.048 5 What is the probability of drawing a red card or a queen from a standard deck of 52 cards? • 7/13 • 1/2 • 15/26 • 1/26 6 Using this Venn diagram, what is the probability that event A or event B occurs? • 0.22 • 0.60 • 0.78 • 0.42 7 What is the probability of NOT drawing a Queen from a standard deck of 52 cards? • 4/13
• 51/52 • 1/13 • 12/13 8 Satara was having fun playing poker. She needed the next two cards dealt to be hearts so she could make a flush (five cards of the same suit). There are 10 cards left in the deck, and three are hearts. What is the probability that the two cards dealt to Satara (without replacement) will both be hearts? Answer choices are in percentage format, rounded to the nearest whole number. • 60% • 7% • 26% • 30% 9 Mark noticed that the probability that a certain player hits a home run in a single game is 0.175. Mark is interested in the variability of the number of home runs if this player plays 200 games. If Mark uses the normal approximation of the binomial distribution to model the number of home runs, what is the standard deviation for a total of 200 games? Answer choices are rounded to the hundredths place. •
28.88 • 5.37 • 0.14 • 5.92 10 A credit card company surveys 125 of their customers to ask about satisfaction with customer service. The results of the survey, divided by gender, are shown below. MalesFemales Extremely Satisfied 25 7 Satisfied 21 13 Neutral 13 16 Dissatisfied 9 14 Extremely Dissatisfied 2 5
If a survey is selected at random, what is the probability that the person is a female with neutral feelings about customer service? Answer choices are rounded to the hundredths place. • 0.19 • 0.81 • 0.5 •
0.13 • 0.29 11 Two sets A and B are shown in the Venn diagram below.
Which statement is TRUE? • There are a total of 2 elements shown in the Venn diagram. • Set A has 8 elements. • Sets A and B have 3 common elements. • Set B has 7 elements. 12 La'Vonn rolled a die 100 times. His results are below. Number Times Rolled 1 18 2 20 3 15 4 17 5 14 6 16
What is the relative frequency for La'Vonn rolling a 3? Answer choices are rounded to the hundredths place. • 0.01 • 0.07 • 0.15 • 0.38 13 Using the Venn Diagram below, what is the conditional probability of event Q occurring, assuming that event P has already happened [P (Q|P)]? • 0.75 • 0.73 • 0.55 • 0.05 14 What is the theoretical probability of drawing a king from a well shuffled deck of 52 cards? • 1/52
•
1/13 • 1/26 • 4/13 15 Dan is playing a game where he selects a card from a deck of four cards, labeled 1 , 2, 3, or 4. The possible cards and probabilities are shown in the probability distribution below.
What is the expected value for the card that Dan selects? • 1.0 • 2.0 • 3.5 • 2.5 16 Which of the following is an example of a false positive? • Test results indicate that a patient has cancer when, in fact, he does not. • Test results indicate that a patient does not have cancer when, in fact, he does. • Test results confirm that a patient does not have cancer.
• Test results confirm that a patient has cancer. 17 Three hundred students in a school were asked to select their favorite fruit from a choice of apples, oranges, and mangoes. This table lists the results. BoysGirls Apple 66 46 Orange 52 41 Mango 40 55 If you were to choose a boy from the group, what is the probability that mangoes are his favorite fruit? Answer choices are rounded to the hundredths place. • 0.13 • 0.25 • 0.39 • 0.75 18 Which of the following situations describes a continuous distribution? • A probability distribution showing the number of minutes employees spend at lunch. • A probability distribution of the average time it takes employees to drive to work. •
A probability distribution of the workers who arrive late to work each day. • A probability distribution showing the number of pages employees read during the workday. 19 Which of the following is a property of binomial distributions? • There are exactly three possible outcomes for each trial. • The sum of the probabilities of successes and failures is always 1. • All trials are dependent. • The expected value is equal to the number of successes in the experiment. 20 Tim rolls two six-sided dice and flips a coin. All of the following are possible outcomes, EXCEPT: • 2, 8, Heads • 5, 2, Tails • Heads, 3, 4 • 1, Tails, 6 21
Tracie spins the four-colored spinner shown below. She records the total number of times the spinner lands on the color red and constructs a graph to visualize her results.
Which of the following statements is TRUE? • The theoretical probability of the spinner landing on red will change with every spin completed. • If Tracie spins the spinner 1,000 times, it would land on red close to 250 times. • If Tracie spins the spinner 1,000 times, the relative frequency of it landing on red will remain constant. • If Tracie spins the spinner 4 times, it will land on red at least once. 22 Zhi and her friends moved on to the card tables at the casino. Zhi wanted to figure out the probability of drawing a black Queen or a black Jack. Choose the correct probability of drawing a black Queen or a black Jack. Answer choices are in the form of a percentage, rounded to the nearest whole number. • 4% • 15% • 25% • 8%
23 For a math assignment, Jane has to roll a set of six standard dice and record the results of each trial. She wonders how many different outcomes are possible after rolling all six dice. What is the total number of possible outcomes for each trial? • 7,776 • 36 • 46,656 • 216 24 Asmita went to a blackjack table at the casino. At the table, the dealer has just shuffled a standard deck of 52 cards. Asmita has had good luck at blackjack in the past, and she actually got three blackjacks with Aces in a row the last time she played. Because of this lucky run, Asmita thinks that Ace is the luckiest card. The dealer deals the first card to her. In a split second, she can see that it is a non-face card, but she is unsure if it is an Ace. What is the probability of the card being an Ace, given that it is a non-face card? Answer choices are in a percentage format, rounded to the nearest whole number. • 69% • 10% • 77%
• 8% 25 Peter randomly draws a card from a deck of 24. The odds in favor of his drawing a spade from the cards are 1:3. What is the probability ratio for Peter to draw a spade? • 1/3 • 1/8 • 1/4 • 1/6 26 Phil is randomly drawing cards from a deck of 52. He first draws a Queen, places it back in the deck, shuffles the deck, and then draws another card. What is the probability of drawing a Queen, placing it back in the deck, and drawing any face card? Answer choices are in the form of a percentage, rounded to the nearest whole number. • 2% • 7% • 31% • 25%
27 Select the following statement that describes overlapping events. • Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond. • Amanda rolls a three when she needed to roll an even number. • Amanda wants a black card so she can have a winning hand, and she receives the two of hearts. • Amanda understands that she cannot get a black diamond when playing poker.