# Statistics and probability question. Please show work for each part. Thank you.

6. (20 points) A small business leased two computers and a printer. The annual cost ofservicing a computer has a mean of \$ 100 with a standard deviation of \$14, and theannual cost of servicing a printer has a mean of \$150 with a standard deviation of \$30.(1) What’s the expected value of this company’s total annual expenses for servicing thetwo computers and one printer?(2) What’s the standard deviation of this company’s total annual expenses?(3) Assume the expenses are Normal random variables. What’s the probability that thiscompany spends more on the printer than on the two computers in a year?(4) If the government offers a refund that pays back 30% of the expenses for computersand 20% of the expenses for printers, calculate the mean and standard deviation of theannual refund this company receives.

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