8:18 l 5G Blackbo... EDIT •.. 10! 3628800 11! 39916800 12! 479001600 13! 6227020800 14! 87178291200 15! 1307674368000 16! 20922789888000 17! 355687428096000 18! 6402373705728000 19! 121645100408832000...

Extracted text: 8:18 l 5G Blackbo... EDIT •.. 10! 3628800 11! 39916800 12! 479001600 13! 6227020800 14! 87178291200 15! 1307674368000 16! 20922789888000 17! 355687428096000 18! 6402373705728000 19! 121645100408832000 20! 2432902008176640000 2) After a recent bank robbery, three eyewitnesses reported seeing a man with glasses flee the scene. The police suspect Ricky and make up an identity parade of five men with glasses. Ricky takes his place in the parade alongside four randomly chosen stooges. Two of the eyewitnesses identify Ricky and the third points to one of the stooges. What's the probability that Ricky would have been chosen by two of the three eyewitnesses if each witness had chosen completely at random? Solve this problem using the Binomial Probability Mass Function. (Tip: This problem 1 Applied Statistics (CRJ 504) will be easier to solve if you first find p, the probability of success on any one trial; in other words, the probability of a single eyewitness choosing Ricky) 3) Suppose test scores for the New York State Police entrance exam are normally distributed with a mean of 68 and a standard deviation of 4. Applicants must receive a 70 or higher to pass the exam. a) What's the probability that a randomly selected applicant scored a 70 or higher? Include a diagram when answering this question. b) What score would an applicant need in order to be at the 90th percentile for the exam? 4) Suppose New York City has an average police response time of 8.5 minutes, with a standard deviation of 3 minutes. You select a random sample of 64 calls to dispatch and calculate the response time for each. What's the probability that the mean of their response times is less than 8 minutes? Include a diagram when answering this question. 2