# Normal Approximations to Binomial Distributions

A survey of workers in the U.S. found that 2.9% work more than 70 hours per week. You randomly select 10 workers in the U.S. and ask each if he or she works more than 70 hours per week.

a)find the probability that at most three people say they work more that 70 hours per week

b)find the probability that at least three peopl say they work more than 70 hours per week

c)find the probability that more than three people say they work more than 70 hours per week

d)a large company is concerned about overworked employees who work more than 70 hours per week. If the company randomly selects 50 emplyees, what is the probability there will be no employee working more than 70 hours.

Please show work!! Thank you

https://brainmass.com/statistics/probability/normal-approximations-to-binomial-distributions-2943

#### Solution Summary

The solution address a survey of workers in the U.S. found that 2.9% work more than 70 hours per week. You randomly select 10 workers in the U.S. and ask each if he or she works more than 70 hours per week.

a)find the probability that at most three people say they work more that 70 hours per week

b)find the probability that at least three peopl say they work more than 70 hours per week

c)find the probability that more than three people say they work more than 70 hours per week

d)a large company is concerned about overworked employees who work more than 70 hours per week. If the company randomly selects 50 emplyees, what is the probability there will be no employee working more than 70 hours.