8. Households are randomly selected and partitioned into groups of four. For thosegroups, the random variable x is the number of households with a printer. Determine whether a probability distribution is given. If a probability distribution isgiven, find its mean and standard deviation. If a probability distribution is notgiven, identify the requirements that are not satisfied.

		0	0.026
	1	0.148
	2	0.336
	3	0.353
	4	0.137

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Part 1

Does the table show a probabilitydistribution? Select all that apply.

A.

Yes, the table shows a probability distribution.

B.

No, the numerical values of the random variable x are not associated with probabilities.

C.

No, not every probability is between 0 and 1 inclusive.

D.

No, the random variable x is categorical instead of numerical.

E.

No, the sum of all the probabilities is not equal to 1.

Part 2

Find the mean of the random variable x. Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice.

A.

=enter your response here

household(s)

(Round to one decimal place asneeded.)

B.

The table does not show a probability distribution.

Part 3

Find the standard deviation of the random variable x. Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice.

A.

=enter your response here

household(s)

(Round to one decimal place asneeded.)

B.

The table does not show a probability distribution.

9. Conduct the hypothesis test and provide the test statistic and the criticalvalue, and state the conclusion.

A person drilled a hole in a die and filled it with a leadweight, then proceeded to roll it 200

times. Here are the observed frequencies for the outcomes of1, 2,3, 4,5, and6, respectively:

25, 29, 46, 38, 28, 34. Use a 0.025 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fairdie?

Click here to view the chi-square distribution table.

LOADING...

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Part 1

The test statistic is

enter your response here.

(Round to three decimal places asneeded.)

Part 2

The critical value is

enter your response here.

(Round to three decimal places asneeded.)

Part 3

State the conclusion.

Reject

Do not reject

H0.

There

is not

is

sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes

appear

do not appear

to be equallylikely, so the loaded die

appears

does not appear

to behave differently from a fair die.