In the following probability distribution, the random variable X represents the
ID: 3160283 • Letter: I
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 activities?
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 activities is P(X=3)=0.325
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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