Question: Consider the probability distribution for the random variable x shown here: x -1 1 2 5 y .2 .4 .2 .2 a. Find m =

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

x -1 1 2 5 y .2 .4 .2 .2

a. Find m = E1x2.

b. Find s2 = E31x - m224.

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.

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