Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so approximate P(X) using the normal distribution and compare the result with the exact probability. n= 57, p = 0.4, and X= 18 ... For n = 57, p = 0.4, and X= 18, find P(X). P(X)= 0.0475 (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? O A. Yes, the normal distribution can be used because np(1 - p)< 10. O B. No, the normal distribution cannot be used because np(1 – p)< 10. C. Yes, the normal distribution can be used because np(1 - p) > 10. O D. No, the normal distribution cannot be used because np(1 - p) 2 10. Approximate P(X) using the normal distribution. Select the correct choice below and fill in any answer boxes in your choice. O A. P(X) = (Round to four decimal places as needed.) O B. The normal distribution cannot be used.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
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In my class, we solve almsot eveything usuing statcrunch, if possible, could you show me how to solve part C or tell me steps to-do on statcrucnh? If not and there's an easier way than thats fine.

Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so,
approximate P(X) using the normal distribution and compare the result with the exact probability.
n = 57, p = 0.4, and X = 18
...
For n= 57, p= 0.4, and X= 18, find P(X).
P(X) = 0.0475 (Round to four decimal places as needed.)
Can the normal distribution be used to approximate this probability?
A. Yes, the normal distribution can be used because np(1- p)< 10.
B. No, the normal distribution cannot be used because np(1 - p) < 10.
C. Yes, the normal distribution can be used because np(1 - p) 2 10.
D. No, the normal distribution cannot be used because np(1- p) > 10.
Approximate P(X) using the normal distribution. Select the correct choice below and fill in any answer boxes in your choice.
A.
P(X) = (Round to four decimal places as needed.)
B. The normal distribution cannot be used.
Transcribed Image Text:Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n = 57, p = 0.4, and X = 18 ... For n= 57, p= 0.4, and X= 18, find P(X). P(X) = 0.0475 (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? A. Yes, the normal distribution can be used because np(1- p)< 10. B. No, the normal distribution cannot be used because np(1 - p) < 10. C. Yes, the normal distribution can be used because np(1 - p) 2 10. D. No, the normal distribution cannot be used because np(1- p) > 10. Approximate P(X) using the normal distribution. Select the correct choice below and fill in any answer boxes in your choice. A. P(X) = (Round to four decimal places as needed.) B. The normal distribution cannot be used.
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