A survey at the University found that 22 % of students use Reading Week primarily for academic work. Suppose you randomly select 32 Did you use Reading Week primarily for academic work? (a) What is the probability that 13 of these students respond YES? P(X = 13) = (use five decimals in your answer) (b) What is the probability that between 15 and 19 of these P(15≤ X ≤19)= =0 (use five decimals in your answer) students respond YES? (c) How many of the 32 births would you expect to respond YES? Find the standard deviation as well. E(X) = x = (use two decimals in your answer) SD(X) = ox= (use two decimals in your answer) (d) What is the probability that more than 11 of these hese P(X > 11) (use five decimals in your answer) students will respond YES? students and ask each the following question:

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Please help me answer the following questions from this problem.

A survey at the University
found that 22 % of students use Reading Week primarily for academic work. Suppose you randomly select 32
Did you use Reading Week primarily for academic work?
(a) What is the probability that 13 of these
students respond YES?
P(X = 13) =
(use five decimals in your answer)
(b) What is the probability that between 15 and 19 of these
P(15≤ X ≤19)= =0
(use five decimals in your answer)
students respond YES?
(c) How many of the 32 births would you expect to respond YES? Find the standard deviation as well.
E(X) = x =
(use two decimals in your answer)
SD(X) = ox=
(use two decimals in your answer)
(d) What is the probability that more than 11 of these hese
P(X > 11)
(use five decimals in your answer)
students will respond YES?
students and ask each the following question:
Transcribed Image Text:A survey at the University found that 22 % of students use Reading Week primarily for academic work. Suppose you randomly select 32 Did you use Reading Week primarily for academic work? (a) What is the probability that 13 of these students respond YES? P(X = 13) = (use five decimals in your answer) (b) What is the probability that between 15 and 19 of these P(15≤ X ≤19)= =0 (use five decimals in your answer) students respond YES? (c) How many of the 32 births would you expect to respond YES? Find the standard deviation as well. E(X) = x = (use two decimals in your answer) SD(X) = ox= (use two decimals in your answer) (d) What is the probability that more than 11 of these hese P(X > 11) (use five decimals in your answer) students will respond YES? students and ask each the following question:
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