Question

Question 16 Thirty-two percent of workeers in Troberca City are college graduates. You randomly select 50 workers and ask them is he or she is a college graduate. Find the probability that less than 18 workers are college graduate

Answer 1

Solution :

Given that,

p = 0.32

q = 1 - p = 1 - 0.32 = 0.68

n = 50

Using binomial distribution,

= n * p = 50 * 0.32 = 16

= n * p * q = 50 * 0.32 * 0.68 = 3.2985

Using continuity correction ,

P(x < 17.5) = P((x - ) / < (17.5 - 16) / 3.2985)

= P(z < 0.455)

= 0.6754

Probability = 0.6754