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Researchers at Wichita State University found that on average, older generations worked for 19 years with...

Researchers at Wichita State University found that on average, older generations worked for 19 years with one employer with a variance of 36 years. They want to know if their student's expectations differ from reality. They will sample 40 business students and will ask them the following question: Over the course of your lifetime, what is the number of years you expect to work for any one employer?

a.) What is the probability that the sample mean is greater than 20 years and 6 months?

b.) What is the probability that the sample mean lies between 21.25 and 22.45 years?

c.) How many years would the sample mean be in order to be in the lower 2.4% of the population values?

d.) What is the probability that a randomly selected business student works for a company for more than 24 years?

Include tails if possible thank you!!

Math   Statistics-And-Probability   
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