Posted: November 10th, 2015

Homework Questions

Use the following information to answer the next four questions:

Jerry the salesman knows from experience he has a 20% chance of making a sale when

calling on a customer. One morning he prepares to make ten calls.

On this morning, how many sales does he expect to make?

What is Jerry’s probability of making exactly three sales?

What is Jerry’s probability of making four or more sales?

Use the following information to answer the next five questions:

A study at Schnuck’s supermarket revealed that between 4 p.m. and 5 p.m. on

weekdays there is an average of one customer for each minute interval at the deli

counter.

What is the probability that you visit Schnuck’s deli counter at this time and find

no customers during a one minute interval?

What is the probability that you visit Schnuck’s deli counter during this time and

find four customers during a one minute interval?

What is the probability that you visit Schnuck’s deli counter at this time and find

no more than two customers during a five minute interval?

What is the probability that you visit Schnuck’s deli counter at this time and find

at least four customer during a five minute interval?

What is the probability that you visit Schnuck’s deli counter at this time and two

minutes elapse with no customer visits?

Use the following information to answer the next three questions:

The weight of a “40 lb.” bag of Good Growth Landscape Mulch is uniformly

distributed over the interval from 38.5 lbs. to 41.5 lbs.

What is the probability that a bag will weigh more than 41 pounds?

What is the probability that a bag of landscape mulch will weigh less than 39.5

pounds?

What is the probability that a bag of landscape mulch will weigh between 39 and 40

pounds?

Use the following information to answer the next three questions:

Old Main Investment Service recommends the purchase of shares of Dollar Department

Stores. Old Main estimates that, in one year, the price of the shares will be at

x where x is a random variable which is normally distributed with mean of $20 and a

standard deviation of $2.

What is the probability that in a year the shares will be selling for more than

$20?

What is the probability that in a year the shares of Dollar Department stores will

be selling for exactly $20?

What is the probability that in a year the shares of Dollar Department stores will

be selling for less than $18?

Use the following information to answer the next six questions:

Suppose that the number of ounces of soda put into a Pepsi can is normally

distributed with µ =12.05 ounces and σ = 0.03 ounces.

Legally, a can must contain at least 12 ounces of soda. What percentage of cans

will contain at least 12 ounces of soda?

What percentage of Pepsi cans will contain less than 11.9 ounces of soda?

What percentage of Pepsi cans will contain between 12 ounces and 12.08 ounces of

soda?

One percent of all Pepsi soda cans will weigh more than what amount?

Ten percent of all Pepsi cans will weigh less than what amount?

Pepsi controls the mean weight in a can by a weight setting on the machine filling

the cans. For what mean should the machine be set so that only 1 in a 1,000 cans

will be underweight (less than 12 ounces)?

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