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 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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 22T
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1307674368000
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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
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
Transcribed Image Text:141% v Zoom Add Page Insert Table Chart Text Shape Media Comment Collaborate Format Document 13! 6227020800 14! 87178291200 This document has missing fonts. Show 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 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
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