Consider the probability that greater than 100 out of 151 students will pass their college placement exams. Assume the probability that a given student will pass their college placement exam is 64%. Approximate the probability using the normal distribution. Round your answer to four decimal places.

0.3137 is the probability that more than 100 students will pass the college placement exam.    

Step-by-step explanation:

We are given the following in  the question:

Sample size, n = 151

probability student will pass their college placement exam = 64%

Formula:

We have to evaluate

P(x > 100)

Formula:

Calculation the value from standard normal z table, we have,  

0.3137 is the probability that more than 100 students will pass the college placement exam.