Statistics Finding Probabilities for Normal Distribution
Finding Probabilities for Normal Distribution Example. The weights of adult male rhesus monkeys are normally distributed, with a mean of 15 pounds and a standard deviation of 3 pounds. A rhesus monkey is randomly selected. a. Find the probability that the monkey’s weight is less than 13 pounds
13 15 z13 0.66667 3
b. Find the probability that the weight is between 13 and 17 pounds.
c. Find the probability that the monkey’s weight is more than 17 pounds.
Example. The lengths of Atlantic croaker fish are normally distributed, with a mean of 10 inches and a standard deviation of 2 inches. a. What percent of the fish are longer than 11 inches?
b. If 200 Atlantic croakers are randomly selected, about how many would you expect to be shorter than 8 inches?