Question

Consider the probability that greater than 88 out of 152 people have not been in a car accident. Assume the probability that a given person has not been in a car accident is 66 % . Approximate the probability using the normal distribution. Round your answer to four decimal places.

Answer 1

Solution :

Given that,

Using binomial distribution,

= n * p = 152 * 0.66 = 100.32

= n * p * q = 152 * 0.66 * 0.34 = 5.8403

Using continuity correction ,

P(x > 88.5) = 1 - P(x < 88.5)

= 1 - P((x - ) / < (88.5 - 100.32) / .8403)

= 1 - P(z < -2.02)

= 0.9783