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 = 94 , p = 0.65 : P ( X

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. $n = 94 , p = 0.65 : P ( X < 67 )$
A)  0.1210 
B)  0.8888 
C)  0.8621 
D)  0.8790

Quizplus · Accepted Answer

Using the normal approximation, we calculate the mean (np) and standard deviation (sqrt(np(1-p))) for the binomial distribution, then find the z-score for X = 66.5 (continuity correction) and use the standard normal distribution to find the probability.

Use the Normal Approximation to Find the Indicated Probability n=94,p=0.65:P(X<67)n = 94 , p = 0.65 : P ( X < 67 )n=94,p=0.65:P(X<67)

Use the Normal Approximation to Find the Indicated Probability $n = 94 , p = 0.65 : P ( X < 67 )$