Quizzes & Tests Ta a Test . Jose linter Chegg Study | Guided Solutions and Study

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Quizzes & Tests Ta a Test . Jose linter Chegg Study | Guided Solutions and Study H Statistics sec 02 Fall 2017 Quiz: Chapter 6 Quiz 1of9(0complete) This Question: 1 pt nacertain state, about 55% of drivers who are arrested for driving while intoxicated(Dwi) are convicted Complete parts a through c below. a. If 15 independently selected drivers were arrested for DWI, how many of them would you expect to be convicted? Choose the correct answer below 0A.9 0B.8 OC. 7 O D. 6 b.What iste probability that exacty 8 o of 15 independenty selected drivers are corded? The probability that exactly 8 ot of 15 drivers are convicted is (Type an integer or decimal rounded to three decimal places as needed.) c. What is the probability that 8 or Sewer are convicted? The probability that 8 or fewer drivers are convicted is Type an ineger or decimal rounded to throe decimal places as needed ) Click to select your answers 20888 esc 4

Explanation / Answer

here proportion of convicted=p=0.55 and sample size=n=15

let X=driver convicted

here we use binomial distribution and for

Binomial distribution ,P(X=r)=nCrpr(1-p)n-r  

(a) right choice is B.8

E(X)=n*p=15*0.55=8.25 ( nearest whole number is 8)

(b)P(X=8)=0.2013( using ms-excel =BINOMDIST(8,15,0.55,0))

(c) P(X is 8 or fewer)=P(X<=8)=0.5478 ( using ms-excel =BINOMDIST(8,15,0.55,1))

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