Consider the probability distribution for the random variable x shown here: a. Find = E(x). b. Find 2 = E [(x - )2]. c.

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

a. Find µ = E(x).
b. Find σ2 = E [(x - µ)2].
c. Find σ.
d. Interpret the value you obtained for µ.
e. In this case, can the random variable x ever assume the value µ? Explain.
f. In general, can a random variable ever assume a value equal to its expected value? Explain.

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