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Question

Secure https://www.mathxl.com Student/PlayerHomework.aspx?homeworkld-494819123&questionid-10&flushed-true&cld-5132725&center inayes Aliyah McDonald 9/28/18 2:43 PM MTH160 Introduction to Statistics- Fall2018 Homework: Section 4.3 Homework Score: 0 of 1 pt X 4.3.70 Save 10 of 11 (10 complete) HW Score: 60.4%, 6.64 of 11 pts Question Help A literature professor decides to give a 25-question true-false quiz to determine who has read an assigned novel. She wants to choose the passing grade such that the probability of passing a student who guesses on every question is less than 0.45. What score should she set as the lowest passing grade? Click here to view the binomial distribution tables for n 10 and n-15 inomial distribut for n The lowest passing score should be set to correct out of 25. Enter your answer in the answer box and then click Check Answer All parts showing Clear All Check Answer

Explanation / Answer

n=25

p=1/2=0.5

mean=n*p=25*0.5=12.5

standard deviation =sqrt(n*p*(1-p))

=sqrt(25*.5*.5)

=2.5

P(X<x)=0.45

mu= 12.5

sigma= 2.5

X= unknown

probability= 0.45

z-score for probability= -0.12566

Z=(X-mu)/sigma

x=(mu+Z*sigma)

x=12.1858

lowest score is 12

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