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3. Sociology graduates, upon entering the workforce, earn a mean salary of $30,000 with a standard...

3. Sociology graduates, upon entering the workforce, earn a mean salary of $30,000 with a standard deviation of $4,000. Take a random sample of 400 sociology graduates

a. What is the probability that the average starting salary upon entering the workforce will be less than $29,700?

b. Find the 80th Percentile for the sample average starting salary for the groups of 400 sociologist.

4. Let X1, X2 represent the times necessary to perform two successive repair tasks at a certain service facility. Suppose they are independent, normal random variables, with expected values of ?1 = 20 ??? ?2 = 25 , with standard deviations ?1 = 3 ??? ?2 = 4 respectively.

a. What are the mean and standard deviation of Y = X1 – 0.2X2?

b. What is the probability that Y is less than 10?

math   Statistics-And-Probability   
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