Question

Consider the probability that greater than 94 out of 149 people have not been in a car accident. Assume the probability that a given person has not been in a car accident is 61%.

Approximate the probability using the normal distribution. Round your answer to four decimal places.

Answer 1

We have here, n=149 and p=0.61

P[X>94]

=P[X>94.5].......................by using continuity correction.

=P[Z>0.61]

=1-0.7291.......................by using Z table.

=0.2709

Therefore, the probability that greater than 94 out of 149 people have not been in a car accident =0.2709