Asked by Precious Mukuka on Sep 28, 2024
Given a binomial distribution with n trials and probability p of a 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) np ≤ 5 and n(1 − p) ≤ 5
B) np ≥ 5 and np(1 − p) ≥ 5
C) np ≥ 5 and n(1 − p) ≥ 5
D) None of these choices.
Binomial Distribution
A probability distribution that summarizes the likelihood that a value will take one of two independent states under a given number of observations.
Normal Distribution
A bell-shaped frequency distribution curve that is symmetrical about the mean, representing the distribution of many types of data.
- Identify conditions under which the normal distribution can be used as an approximation for the binomial distribution.
Learning Objectives
- Identify conditions under which the normal distribution can be used as an approximation for the binomial distribution.
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