Question

According to a survey by the U.S. Bureau of Labor statistics, 87% of all the part-time college students also work. If this figure still holds and if 100 part-time college students are randomly selected, what is the probabilities that less than 70 part-time college students also work?

Answer 1

Solution :

Given that,

p = 0.87

q = 1 - p = 1 - 0.87 = 0.13

n = 100

Using binomial distribution,

= n * p = 100 * 0.87 = 87

= n * p * q = 100 * 0.87 * 0.13 = 3.3630

Using continuity correction ,

P(x < 70 - 0.5) = P(x < 69.5

= P((x - ) / < (69.5 - 87) / 3.3630)

= P(z < -5.20)

= 0

the probabilities that less than 70 part-time college students also work is 0 .