2. For each of the following binomial experiments, state what is n, x, p, q a) Harper's index states that 10% of all adult residents in Washington D.C. are lawyers. For a random sample of 15 adult Washington D.C, residens, we want to find the probability that 3 are lawyers. b) Based on information from U.S.A. Today, 70% of all people prefer a Christmas vacation in a warm sunny climate. A random sample of 42 people was asked where they would prefer to spend their Christmas vacation. We want to find the probability that 30 would prefer a warm sunny climate. c) Harper's index reports that nationally only 14% of all home burglaries are solved. For a random sample of 200 home burglaries, we want to find the probability that 40 will be solved. d) A fair die is rolled seven times. A toss is considered a success if either a 5 or 6 appears. What is the probity we have 4 successes? Using the Binomial Distribution Formula: 3. Chris plays basketball. The probability that he makes a free throw is 2/3. He shoots five times. What is the probability he makes all five he makes none of the five exactly 4 free throws at least 3 are made Use the Binomial Tables: 4. a) 90% of graduates of State University who apply to a particular medical school are accepted. This yuear six graduates applied. What is the probability that 4 are accepted? b) shipment of 100 tires from Apex Tire company is known to contain 20 defective tires. Five tires are selected at random, each tire is tested and replaced before the next tire is chosen. What is the probability at most 2 are defective? Finding the mean, variance, standard deviation for the Binomial distribution 5. About two out of every three gas purchases at Pete's Exxon station are paid for by credit cards. If 495 customers will buy gas at the station one day, about how many of them will pay for the gas with a credit card? Find the standard deviation 6. 85% of all people who buy a particular camera also buy the carrying case for the camera. If it is estimated that two thousand cameras will be sold this year, about how many carrying cases will be sold? Find the standard deviation.