Question
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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