Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let Χ be the random variable representing the time it takes her to complete one review. Assume Χ is normally distributed. Let be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews. A. Find the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs. Sketch the graph, labeling
and scaling the horizontal axis. Shade the region corresponding to the probability.
b. P() =
C. Find the 95th percentile for the mean time to complete one month's reviews. Sketch the graph.
D. The 95th Percentile =

Answer the following questions using wolframalpha as demonstrated above. be sure to include all graphs you generate.a $120,000 home mortgage for 30 years at 71% has a monthly payment of $839.06. part of the monthly payment is paid toward the interest charge on the unpaid balance, and the remainder of the payment is used to reduce the principal. the amount that is paid toward the interest is: (see attached)and the amount that is paid toward the reduction of the principal is: (see attached 2)in these formulas, p is the size of the mortgage, r is the interest rate, m is the monthly payment, and t is the time (in years). note that t is a variable, while the other values represent constants.a) use wolframalpha to graph each function in the same coordinate plane (like the demonstration).b) in the early years of the mortgage, is the larger part of the monthly payment paid toward the interest or the principal? approximate the time when the monthly payment is evenly divided between interest and principal reduction.c) repeat parts a and b for a repayment period of 20 years (m = $966.71). compare your results to the ones you obtained in a and b.