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Question -

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
B. 2
C. 5
D. 8/3



Answer -

B. 2

Explanation:

Given a die havingwritten 1 on three faces, 2 on two faces and 5 on one face.

Let X be the randomvariable representing a number on given die.

Then X can take anyvalue of 1, 2 or 5.

The total numbers issix.

Now

P(X = 1) = 3/6 = ½

P(X = 2) = 1/3

P(X = 5) = 1/6

Hence, the requiredprobability distribution is,

X

1

2

5

P (X)

1/2

1/3

1/6

Therefore Expectationof X E(X):

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