Use the normal approximation to find the indicated probability. The sample size is n, the population proportion of successes is p, and X is the number of successes in the sample. $n = 85 , p = 0.27 : P ( 21

Question

Use the normal approximation to find the indicated probability. The sample size is n, the population proportion of successes is p, and X is the number of successes in the sample. $n = 85 , p = 0.27 : P ( 21 < X < 33 )$
A) 0.9901
B) 0.3632
C) 0.0099
D) 0.6269

Quizplus · Accepted Answer

To use the normal approximation, calculate the mean (np) and standard deviation (sqrt(np(1-p))). Then, convert X values to z-scores and find the probability using the standard normal distribution.

Use the Normal Approximation to Find the Indicated Probability n=85,p=0.27:P(21<X<33)n = 85 , p = 0.27 : P ( 21 < X < 33 )n=85,p=0.27:P(21<X<33)

Use the Normal Approximation to Find the Indicated Probability $n = 85 , p = 0.27 : P ( 21 < X < 33 )$