Let X have a binomial distribution with parameters n=25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p=0.5, 0.6, and 0.8 and compare to the exact probabilities calculated from Appendix Table A.1. Note: <= is "less than or equal to" and >= is "greater than or equal to" 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
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Let X have a binomial distribution with parameters n=25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p=0.5, 0.6, and 0.8 and compare to the exact probabilities calculated from Appendix Table A.1.

Note: <= is "less than or equal to" and >= is "greater than or equal to"

a. P(15<= X<= 20)

b. P(X<=15)

c. P(20<=X)

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