Binomial Distributions
There are 10 marbles in a bag. Half are striped, and half are not striped. Explain why choosing 3 marbles without replacement and noting whether they arc striped docs not fit the definition of a binomial experiment. This problem will prepare you for the Multi-Step Test Prep on page 844. Based on historical data, the expected number of rainy days in San Antonio, Texas, during a calendar year is 82. Assume that rainy days are independent events. What is the probability that there will be rain on any given day in San Antonio? What is the probability that there will be exactly 3 rainy days during any given week? What is the probability that there will be at least 3 rainy days during any given week? Genetics There is about a 0.1 probability that a person is left-handed. There are 650 people in an auditorium. What is the expected number of left-handed people in the auditorium? Explain. The standard deviation for a binomial experiment with n trials is given by npq. Describe the number of left-handed people that you would expect in the auditorium as an interval within 1 standard deviation of the expected number. Find each probability. Which is greater? rolling at least one 1 in 6 rolls of a die rolling at least two 1 s in 12 rolls of a die
