If X denotes the number on the upper face of a cubical die when it is thrown, find the mean of X

Question

Philoid · Accepted Answer

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The sample space of the experiment consist of 6 elementary events where, x_i=1, 2, 3,4,5,6

The random variable X i.e. number on the upper face of a cubical die when it is thrown is-1,2,3,4,5,6

P(X=1) =P (1) =

P(X=2) =P (2) =

P(X=3) =P (3) =

P(X=4) =P (4) =

P(X=5) =P (5) =

P(X=6) =P (6) =

The probability distribution of X is

_{E(X) = 3.5}