Probability Mass Function Xx PXx 1 01 Part A Compute EX 4 02

Probability Mass Function

X=x       P(X=x)

-1          0.1                                 Part (A) Compute E(X)

4           0.2                                 Part (B) Calculate P{ (X<4) U (X>=6) }

6           0.5

9           0.2

Can someone Please Help me Calculate Parts A & B

Solution

Consider:

Thus,      
      
E(x) = Expected value = mean =    5.5 [ANSWER]

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b)

P(x<4 U x>=6) = P(-1) + P(6) + P(9) = 0.1+0.5+0.2 = 0.8 [ANSWER]