Delivery of Package:Primera Delivery Service has found that the delivery time for packages is normally distributed with mean 18 hours and a standard deviation of 1.5 hours.

Questions:Answer the questions below, show work, or explain how you obtained your answer.If you used your calculator, write the function you are using as well as the numbers you typed into your calculator.

a)Compute the z value that corresponds to X = 15 hours (round the answer to 2 decimal places)

b)Interpret the z value obtained in part A in the context of the problem.

c)Compute the z value that corresponds to X = 21 hours, round to 2 decimal places.

d)Compute P(15 < X < 21) round to 4 decimal places and interpret the result in the context of the problem.(3pts)

e)For a package selected at random, what is the probability that it will be delivered in more than 21 hours?Round to 4 decimal places.

f)What should the guaranteed delivery time be (in hours) on packages so that 80% of the packages will be delivered before this time? Round to 1 decimal place.Show some work or tell me which calculator function you are using and include the relevant numerical information.Round final answer to 1 decimal place.(3pts)