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. $n = 96 , p = 0.42 : P ( X 45 )$
A) 0.1423
B) 0.1611
C) 0.1292
D) 0.8708

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. $n = 96 , p = 0.42 : P ( X > 45 )$
A)  0.1423 
B)  0.1611 
C)  0.1292 
D)  0.8708

Quizplus · Accepted Answer

To use the normal approximation, calculate the mean (np) and standard deviation (sqrt(np(1-p))). Then, find the z-score for X = 45. Use the z-score to find the probability from the standard normal distribution table.

Use the Normal Approximation to Find the Indicated Probability n=96,p=0.42:P(X>45)n = 96 , p = 0.42 : P ( X > 45 )n=96,p=0.42:P(X>45)

Use the Normal Approximation to Find the Indicated Probability $n = 96 , p = 0.42 : P ( X > 45 )$