Question 1

Find the standard deviation of the number of repairs each year.

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Question 2

What is the standard deviation of the number of repairs that may be required during the
three-year term of the lease? On what assumption does your calculation rest? Do you think
this assumption is reasonable?

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Question 3

What are the mean and standard deviation of the restaurant's annual expense for the
service contract?

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Question 4

Which service contract should the restaurant expect to cost more each year? How much
more? With what standard deviation?

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Question 5

What are the mean and standard deviation of the company's annual expense for the service
contract?

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Question 6

What is the standard deviation of the number of repairs that may be required during the
three-year lease period? On what assumption does your calculation rest? Do you think this
assumption is reasonable? Explain.

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Question 7

What is the probability that a boat is either made of wood or has chrome accents?

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Question 8

The American Veterinary Association claims that the annual cost of medical care for dogs
averages $100 with a standard deviation of $30, and for cats averages $120 with a standard
deviation of $35.
a. Find the expected value for the annual cost of medical care for a person who has one dog
and one cat.
b. Find the standard deviation for the annual cost of medical care for a person who has one
dog and one cat.
c. Suppose that a couple owns four dogs.
i. Find the expected value for the annual cost of medical care for the couple's dogs.
ii. Find the standard deviation for the annual cost of medical care for the couple's dogs.

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Question 9

Find the expected number of repairs this kind of freezer is expected to need each year.
Show your work.

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Question 10

What is the probability that if a boat has chrome accents it is also made of natural wood?

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Question 11

How many times should the company expect to have to get this computer repaired over
the three-year term of the lease?

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Question 12

Does it appear that having chrome accents and being made of wood are independent
characteristics? Provide statistical evidence to justify your response.

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Question 13

Find the expected number of repairs this kind of computer is expected to need each year.
Show your work.

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Question 14

A biology professor responds to some student questions by e-mail. The probability model
below describes the number of e-mails that the professor may receive from students
during a day. $$\begin{array} { l | c | c | c | c | c | c } 
\text { e-mails received } & 0 & 1 & 2 & 3 & 4 & 5 \
\hline \text { Probability } & 0.05 & 0.10 & 0.20 & 0.25 & 0.30 & 0.10
\end{array}$$ 
a. How many e-mails should the professor expect to receive each day?
b. What is the standard deviation?
c. If it takes the professor an average of ten minutes to respond to each e-mail, how much
time should the professor expect to spend responding to student e-mails each day?

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Question 15

The yearly service contract for the food fryer estimates a mean annual cost of $140 with a
standard deviation of $40. What is the expected value and standard deviation of the total
cost for the service contracts for the freezer and the food fryer?

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Question 16

If Jacob removes 3 marbles from the bag, what are the chances that he will get at least one
orange?

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Question 17

What is the probability that if he removes 2 marbles without looking, that he will get two
orange marbles?

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Question 18

Find the standard deviation of the number of repairs each year.

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Question 19

How many times should the restaurant expect to have to get this freezer repaired over the
three-year term of the lease?

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Question 20

What are the chances that he as he removes marbles from the bag, he doesn't get an orange
marble until his fourth attempt?

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Quiz 8: Regression, Associations, and Predictive Modeling

Find the standard deviation of the number of repairs each year.

What is the standard deviation of the number of repairs that may be required during the three-year term of the lease? On what assumption does your calculation rest? Do you think this assumption is reasonable?

What are the mean and standard deviation of the restaurant's annual expense for the service contract?

Which service contract should the restaurant expect to cost more each year? How much more? With what standard deviation?

What are the mean and standard deviation of the company's annual expense for the service contract?

What is the standard deviation of the number of repairs that may be required during the three-year lease period? On what assumption does your calculation rest? Do you think this assumption is reasonable? Explain.

What is the probability that a boat is either made of wood or has chrome accents?

Find the expected number of repairs this kind of freezer is expected to need each year. Show your work.

What is the probability that if a boat has chrome accents it is also made of natural wood?

How many times should the company expect to have to get this computer repaired over the three-year term of the lease?

Does it appear that having chrome accents and being made of wood are independent characteristics? Provide statistical evidence to justify your response.

Find the expected number of repairs this kind of computer is expected to need each year. Show your work.

The yearly service contract for the food fryer estimates a mean annual cost of $140 with a standard deviation of $40. What is the expected value and standard deviation of the total cost for the service contracts for the freezer and the food fryer?

If Jacob removes 3 marbles from the bag, what are the chances that he will get at least one orange?

What is the probability that if he removes 2 marbles without looking, that he will get two orange marbles?

Find the standard deviation of the number of repairs each year.

How many times should the restaurant expect to have to get this freezer repaired over the three-year term of the lease?

What are the chances that he as he removes marbles from the bag, he doesn't get an orange marble until his fourth attempt?