Sheet #3 Student Name :
Sec:
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) If two events are mutually exclusive, what is the probability that one or the other occurs? A) 0 B) 1.00 C) 0.50 D) cannot be determined from the information given 2) If two events are mutually exclusive, what is the probability that both occur at the same time? A) 0.50 B) 0 C) 1.00 D) cannot be determined from the information given 3) If event A and event B cannot occur at the same time, then events A and B are said to be A) mutually exclusive. B) collectively exhaustive. C) statistically independent. D) none of the above 4) If two events are independent, what is the probability that they both occur? A) 0.50 B) 0 C) 1.00 D) cannot be determined from the information given 5) When using the general multiplication rule, P(A and B) is equal to A) P(A)/P(B). B) P(A|B)P(B). C) P(A)P(B).
D) P(B)/P(A).
6) A business venture can result in the following outcomes (with their corresponding chance of occurring in parentheses): Highly Successful (10%), Successful (25%), Break Even (25%), Disappointing (20%), and Highly Disappointing (?). If these are the only outcomes possible for the business venture, what is the chance that the business venture will be considered Highly Disappointing? A) 15% B) 20% C) 25% D) 10% 7) The collection of all possible events is called A) a sample space. C) a joint probability.
B) a simple probability. D) the null set.
8) If the outcome of event A is not affected by event B, then events A and B are said to be A) statistically independent. B) mutually exclusive. C) collectively exhaustive. D) none of the above 9) The employees of a company were surveyed on questions regarding their educational background and marital status. Of the 600 employees, 400 had college degrees, 100 were single, and 60 were single college graduates. What is the probability that an employee of the company is single or has a college degree? A) 0.10 B) 0.733 C) 0.25 D) 0.667
1
10) The employees of a company were surveyed on questions regarding their educational background and marital status. Of the 600 employees, 400 had college degrees, 100 were single, and 60 were single college graduates. What is the probability that an employee of the company is married and has a college degree? A) 40/600 B) 400/600 C) 340/600 D) 500/600 11) The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, what is the probability that the cost is kept within budget or the campaign will increase sales? A) 0.20 B) 0.32 C) 0.88 D) 0.68 12) The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, what is the probability that the cost is not kept within budget or the campaign will not increase sales? A) 0.68 B) 0.88 C) 0.12 D) 0.32 13) The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, what is the probability that neither the cost is kept within budget nor the campaign will increase sales? A) 0.32 B) 0.12 C) 0.68 D) 0.88 TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 14) When A and B are mutually exclusive, P(A or B) can be found by adding P(A) and P(B). 15) The collection of all the possible events is called a sample space. 16) If A and B cannot occur at the same time they are called mutually exclusive. 17) If either A or B must occur they are called mutually exclusive. 18) If P(A) = 0.4 and P(B) = 0.6, then A and B must be mutually exclusive. 19) If P(A or B) = 1.0, then A and B must be mutually exclusive. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 20) Suppose A and B are independent events where P(A) = 0.4 and P(B) = 0.5. Then P(A and B) = ________. 21) Suppose A and B are mutually exclusive events where P(A) = 0.4 and P(B) = 0.5. Then P(A and B) = ________. 22) Suppose A and B are mutually exclusive events where P(A) = 0.4 and P(B) = 0.5. Then P(A or B) = ________. 23) Suppose A and B are independent events where P(A) = 0.4 and P(B) = 0.5. Then P(A or B) = ________. 24) Suppose A and B are events where P(A) = 0.4, P(B) = 0.5, and P(A and B) = 0.1. Then P(A or B) = ________.
2
25) Suppose A and B are events where P(A) = 0.4, P(B) = 0.5, and P(A and B) = 0.1. Then P(B|A) = ________. 26) Suppose A and B are events where P(A) = 0.4, P(B) = 0.5, and P(A and B) = 0.1. Then P(A|B) = ________. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 27) Classify the statement as an example of classical probability, empirical probability, or subjective probability. The probability that a train will be in an accident on a specific route is 1%. A) classical probability B) empirical probability C) subjective probability 28) Classify the statement as an example of classical probability, empirical probability, or subjective probability. The probability that interest rates will rise during the summer is 0.05. A) classical probability B) subjective probability C) empirical probability 29) Classify the statement as an example of classical probability, empirical probability, or subjective probability. In California's Pick Three lottery, a person selects a 3-digit number. The probability of winning California's Pick 1 Three lottery is . 1000 A) classical probability
B) subjective probability
3
C) empirical probability