Question: 1. The following probability distribution table is for the random variable, x , the number of children under the age of 20 years in households

1.The following probability distribution table is for the random variable, x , the number of children under the age of 20 years in households of a small town.Remember to show all work to answer the following questions.

x P(x)

0 0.17

1 0.40

2 0.25

3 0.11

4 0.07

> 4 0.00

a)Determine the mean of x .

b)Determine the standard deviation of x .

c)Find the probability of a household consisting of 3 or more children under the age of 20

Round all answers a - c to 2 decimal places.

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