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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 42E
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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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