Question: '.' snare Find ,u, = E{x). . Find 0'2 = am pf]. Find a. . Interpret the value you obtained for ,u. In this case.

 '."' snare Find ,u, = E{x). . Find 0'2 = ampf]. Find a". . Interpret the value you obtained for ,u. Inthis case. can the random variable .1: ever assume the value Pb?
Explain. In general, can a random variable ever assume a value equalto its expected value? Explain. H 4.43 Consider the probability distribution forthe random vari- able 1: shown here: .1: 1 2 4 10

'."' snare Find ,u, = E{x). . Find 0'2 = am pf]. Find a". . Interpret the value you obtained for ,u. In this case. can the random variable .1: ever assume the value Pb? Explain. In general, can a random variable ever assume a value equal to its expected value? Explain. H 4.43 Consider the probability distribution for the random vari- able 1: shown here: .1: 1 2 4 10 p(x) .2 4 2 4.46 Consider the probability distribution shown here: NW -4 -3 -2 -1 0 2 3 4 p(x) .02 .07 .10 .15 .30 .18 .10 .06 .02 a. Calculate u, o', and o. b. Graph p(x ). Locate u, u - 20, and u + 20 on the graph. c. What is the probability that x will fall into the interval u I 20? A

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