A)For n=56, p=0.5, and X=30, use the binomial probability formula to find P(X). B)Can the normal distribution be used to approximate this probability? A. No, because np(1−p)≤10 B. Yes, because np(1−p)≥10 C. Yes, because np(1−p)≥10 D. No, because np(1−p)≤10 C) Approximate P(X) using the normal distribution.
A)For n=56, p=0.5, and X=30, use the binomial probability formula to find P(X). B)Can the normal distribution be used to approximate this probability? A. No, because np(1−p)≤10 B. Yes, because np(1−p)≥10 C. Yes, because np(1−p)≥10 D. No, because np(1−p)≤10 C) Approximate P(X) using the normal distribution.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Compute P(X) using the binomial
n=56 p=0.5 x=30
A)For n=56, p=0.5, and X=30, use the binomial probability formula to find P(X).
B)Can the normal distribution be used to approximate this probability?
A.
No, because np(1−p)≤10
Yes, because np(1−p)≥10
Yes, because np(1−p)≥10
No, because np(1−p)≤10
C)
B.
Approximate P(X) using the normal distribution. Use a standard normal distribution table.
A.
P(X)=enter your response here
(Round to four decimal places as needed.)The normal distribution cannot be used.
D)
By how much do the exact and approximated probabilities differ?
A.enter your response here
(Round to four decimal places as needed.)
B.
The normal distribution cannot be used.
E)By how much do the exact and approximated probabilities differ?
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