1. The sociologist surveyed the households in a small town. The random variable X represents the number of dependent children in the households. The following is the probability distribution of X:
X 0 1 2 3 4
P(X) 0.07 0.20 0.38 k 0.13
(a) Find the missing probability value of k
(b) Find the mean of X
(c) Find the standard deviation of X

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  1. a)k=1-(0.07+0.20+0.38+0.13)=0.22
    The standard deviation=

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