Question

In: Statistics and Probability

Twenty five percent of the American work force works in excess of 50 hours per week....

Twenty five percent of the American work force works in excess of 50 hours per week. If a sample of one hundred American workers is taken, what is the probability that thirty or more work over 50 hours per week? Answer: 0.124

Solutions

Expert Solution

Solution :

Given that,

p = 0.25

q = 1 - p = 1 - 0.25 = 0.75

n = 100

Using binomial distribution,

= n * p = 100 * 0.25 = 25

= n * p * q = 100 * 0.25 * 0.75 = 4.33

P(x 30 ) = 1 - P(x   30)

= 1 - P[(x - ) / (30 - 25) / 4.33]

= 1 -  P(z 1.155)

= 1 - 0.876

= 0.124

orchestra answered 2 years ago
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