Question: 37 Consider the probability distribution shown for the random variable x here: a. Find m = E1x2 . b. Find s2 = E3(x - m)24

37 Consider the probability distribution shown for the random variable x here:

10 12 .2 .2 42 .4 24 x 1 p(x) .2

a. Find m = E1x2 .

b. Find s2 = E3(x - m)24 .

c. Find s.

d. Interpret the value you obtained for m.

e. In this case, can the random variable x ever assume the value m? Explain.

f. In general, can a random variable ever assume a value equal to its expected value? Explain.

10 12 .2 .2 42 .4 24 x 1 p(x) .2

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