Question 9: Use R to answer the following. Let X have a binomial distribution with parameters n=25 and p=0.6. Calculate each of the following probabilities using both the binomial distribution and the normal approximation (with the continuity correction). Make sure to check that this an an appropriate use of the normal approximation. (a) P(15 ≤X ≤ 20) (b) P(X ≤ 15) (c) P(20 < X)

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.CR: Chapter 13 Review
Problem 31CR
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Question 9:
Use R to answer the following. Let X have a binomial distribution with parameters n = 25 and
p=0.6. Calculate each of the following probabilities using both the binomial distribution and the normal approximation
(with the continuity correction). Make sure to check that this an an appropriate use of the normal approximation.
(a) P(15 ≤X ≤ 20)
(b) P(X ≤ 15)
(c) P(20 < X)
Transcribed Image Text:Question 9: Use R to answer the following. Let X have a binomial distribution with parameters n = 25 and p=0.6. Calculate each of the following probabilities using both the binomial distribution and the normal approximation (with the continuity correction). Make sure to check that this an an appropriate use of the normal approximation. (a) P(15 ≤X ≤ 20) (b) P(X ≤ 15) (c) P(20 < X)
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