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Suppose the number of hours worked per week by medical residents is normally distributed with an...

Suppose the number of hours worked per week by medical residents is normally distributed with an average of 81.7 hours and standard deviation 6.9 hours per week.

a) What is the probability that a randomly selected resident works less than 75 hours per week?

b) What is the probability that the mean number of hours worked per week by a random sample of 5 medical residents is less than 75 hours ?

c) What is the probability that the mean number of hours worked per week by a random sample of 8 medical residents is less than 75 hours ?

d) What is the number of hours worked for 85% percentile of medical residents?

e) What is the range of number of hours worked for middle 72% of residents?

Math   Statistics-And-Probability   
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