Solution :
Mean = = X * P(X)
= 1 *0.12 + 2 * 0.23 + 3 * 0.35 + 4 * 0.18+5*0.12
= (0.12 +0.46 +1.05 + 0.72+0.6)
mean= 2.95
Standard deviation =
=X 2 * P(X) - 2
= [12 *0.12 + 22 * 0.23 + 32 * 0.35 + 42 * 0.18+52*0.12] -2.95 2
= [(0.12 +0.92 +3.15 +2.88+3 ) )] -8.7025
= 10.07 -8.7025
=1.3675
=1.1694
3) For the given probability distribution, find the mean and standard deviation
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