The sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Decide whether you can use the normal distribution to approximate the random variable x. n= 19 p=0.78 q = 0.22 Can the normal distribution be used to approximate the random variable x? O A. No, because nq < 5. O B. Yes, because np 25 and nq 2 5. O C. No, because np <5 and ng < 5. O D. No, because np < 5.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Decide whether you can use the normal distribution to approximate the random variable x.
n = 19
p= 0.78
q = 0.22
Can the normal distribution be used to approximate the random variable x?
A. No, because nq < 5.
B. Yes, because np 25 and nq 2 5.
C. No, because np < 5 and nq < 5.
D. No, because np < 5.
Transcribed Image Text:The sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Decide whether you can use the normal distribution to approximate the random variable x. n = 19 p= 0.78 q = 0.22 Can the normal distribution be used to approximate the random variable x? A. No, because nq < 5. B. Yes, because np 25 and nq 2 5. C. No, because np < 5 and nq < 5. D. No, because np < 5.
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