The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on one face is:
A
1
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B
2
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C
5
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D
83
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Solution
The correct option is B2 Let X be the random variable representing a number on the die. The total number of observations is six. ∴P(X=1)=36=12 P(X=2)=26=13 P(X=5)=16 Therefore, the probability distribution is as follows. Mean E(X)=∑pixi =12×1+13×2+16×5 =12+23+56 =3+4+56 =126 =2