a) E[X] = Pr(heads)* 60 - Pr(Tails)*40 = 0.50*60 - 0.5*40 =
10
Signa[X] = (Pr(heads)* (60-10)2 +
Pr(Tails)*(-40-10)2)0.5 = (50%*
(60-10)2 + 50%*(-40-10)2)0.5 =
50
b) a) E[X] = Pr(heads)* 60 - Pr(Tails)*40 = 0.40*60 - 0.60*40 =
0
Signa[X] = (Pr(heads)* (60-0)2 +
Pr(Tails)*(-40-0)2)0.5 = (50%*
(60-0)2 + 50%*(-40-0)2)0.5
= 48.99
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