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Households are randomly selected and partitioned into groups of four. For those groups, the random variable x is the number of households with a printer.

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

x P(x)
0 0.025
1 0.146
2 0.337
3 0.355
4 0.137

Does the table show a probability distribution? Select all that apply.

A. Yes, the table shows a probability distribution.

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

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

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

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

Find the mean of the random variable x.

A. =_____household(s) (Round to one decimal place as needed.)

B. The table does not show a probability distribution.

Find the standard deviation of the random variable x.

A. =_______household(s) (Round to one decimal place as needed.)

B. The table does not show a probability distribution.

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