Given a binomial distribution with ?n trials and probability ?p of success on any trial, a conventional rule of thumb is that the normal distribution will provide an adequate approximation of the binomial distribution if A. ??≥5np≥5 and ?(1−?)≤5n(1−p)≤5 B. ??≥5np≥5 and ?(1−?)≥5n(1−p)≥5 C. ??≤5np≤5 and ?(1−?)≥5n(1−p)≥5 D. ??≤5np≤5 and ?(1−?)≤5n(1−p)≤5
Given a binomial distribution with ?n trials and probability ?p of success on any trial, a conventional rule of thumb is that the normal distribution will provide an adequate approximation of the binomial distribution if A. ??≥5np≥5 and ?(1−?)≤5n(1−p)≤5 B. ??≥5np≥5 and ?(1−?)≥5n(1−p)≥5 C. ??≤5np≤5 and ?(1−?)≥5n(1−p)≥5 D. ??≤5np≤5 and ?(1−?)≤5n(1−p)≤5
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 23E
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Question
Given a binomial distribution with ?n trials and probability ?p of success on any trial, a conventional rule of thumb is that the
A. ??≥5np≥5 and ?(1−?)≤5n(1−p)≤5
B. ??≥5np≥5 and ?(1−?)≥5n(1−p)≥5
C. ??≤5np≤5 and ?(1−?)≥5n(1−p)≥5
D. ??≤5np≤5 and ?(1−?)≤5n(1−p)≤5
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