A binomial distribution has 100 trials (n = 100)with a probability of success of 0.25 (π = 0.25). We would like to find the probability of 75 or more successes using the normal distribution to approximate the binomial. Applying the continuity correction factor,what value would be used to calculate a z-score?
A)74.5
B)75
C)75.5
D)25

Question

Quizplus · Accepted Answer

When approximating a binomial distribution with a normal distribution and looking for the probability of "75 or more" successes, we apply the continuity correction factor by subtracting 0.5 from the lower bound of the desired outcome. Thus, for 75 or more successes, we use 74.5 as the value to calculate the z-score.

A Binomial Distribution Has 100 Trials (N = 100)with a Probability