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Vor Charles Do Homework - Trevor Perry - Google Chrome > c s O open A Secure https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkld=457162967&questionld;=13&flushed;=false&cid;=4724730&centerwindyes; . Q G Bookmarks S TUESDAY THURSDAY STT 315 Trevor Perry & I 10/17/17 5:53 PM Trevor Homework: Home work 6 - Chapter 4.1 - 4.3 save MyStatLab Score: 0 of 2 pts 18 of 20 (14 complete) V HW Score: 55%, 22 of 40 pts MIP 4.3-7 E Question Help C A literature professor decides to give a 15-question true-false quiz. She wants to choose the passing grade such that the probability of passing a student who guesses on every question is less than 10. What score should be set as the lowest passing grade? o Courses My Course Home O A. 11 O B. 9 O C. 12 Assignments Study Plan Gradebook StatCrunch eText Chapter Contents Tools for Success Multimedia Library Purchase Options Click to select your answer and then click Check Answer. Discussions All parts showing Clear All Final Check Course Tools 5:53 PM OG P3 xD AN - P D 10/17/2017

Explanation / Answer

Let X is a random variable shows the number of correct questions out of 15. Here X has binomial distribution with parameters n=15 and p=0.5. Following table shows all possible values of X:

Since for x = 11 the probability that students will answer 11 or more questions correctly is less than 0.10 so passing garde should be at least 11 questions.

Correct option is A.

X P(X=x) P(X<=x) P(X>=x) 0 3.05176E-05 3.05176E-05 1 1 0.000457764 0.000488281 0.999969482 2 0.003204346 0.003692627 0.999511719 3 0.013885498 0.017578125 0.996307373 4 0.041656494 0.059234619 0.982421875 5 0.091644287 0.150878906 0.940765381 6 0.152740479 0.303619385 0.849121094 7 0.196380615 0.5 0.696380615 8 0.196380615 0.696380615 0.5 9 0.152740479 0.849121094 0.303619385 10 0.091644287 0.940765381 0.150878906 11 0.041656494 0.982421875 0.059234619 12 0.013885498 0.996307373 0.017578125 13 0.003204346 0.999511719 0.003692627 14 0.000457764 0.999969482 0.000488281 15 3.05176E-05 1 3.05176E-05

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