80.2K

Verified Solution

Link Copied!

1.

John has two jobs. For daytime work at a jewelry store he ispaid $15,000 per month,

plus a commission. His monthly commission is normallydistributed with mean $10,000

and standard deviation $2,000. John's income levels from thesetwo sources are

independent of each other. Use this information to answer thefollowing questions:

a) for a given month, what is the probability that John'scommission from the jewelry store is less than $13,000?

b) for a given month, what is the probability that John'scommission from the jewelry store is at least $12,000?

c) for a given month, what is the probability that John'scommission from the jewelry store is between $11,000 and$12,000?

d) the probability is 0.95 that John's commission from thejewelry store is at least how much in a given month?

e) the probability is 0.75 that John's commission from thejewelry store is less than?

f) how much in a given month?

2) The amount of time a bank teller spends with each customerhas a population mean m = 3.10 minutes and standard deviation s =0.40 minute. If a random sample of 16 customers is selected.

What is the distribution of the mean amount of time for thesamples?

What is the probability that the average time spent per customerwill be at least 3 minutes?

There is an 85% chance that the sample mean will be below howmany minutes?

If a random sample of 64 customers is selected, there is an 85%chance that the sample mean will be below how many minutes?

*for the solution for problem 2 please say how to do in excelusing phstat?