Consider the probability distribution shown for the random variable x here:
x | 1 | 2 | 4 | 10 |
P(x) | .2 | .4 | .2 | .2 |
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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