In the following probability distribution, the random variable X represents the

Question

In the following probability distribution, the random variable X represents the number of activities the mother of a K-5th grade students is involved in :

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x P(X=x)

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0 .044

1 .084

2 .209

3 .325

4 .338

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a. compute the probability that a randomly selected mother is involved in three activies?

b. Compute the probability that a randomly selectd mother is involved in more than two activities?

c. Compute the mean of X.

Explanation / Answer

a.The probability that a randomly selected mother is involved in three activies is 0.325.4

b.The probability that a randomly selectd mother is involved in more than two activities is:

P(X=3)+P(X=4)=0.325+0.338=0.663

c.The mean of X is:

0*0.044+1*0.084+...+4*0.338

=2.829

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