In a single throw of a dice; if `X` denotes the number on its upper face. Find the mean of `X`.

Explanation

From given question it is clear that , X can take the values 1,2,3,4,5,6 each with probabilities `frac{1}{6}.`

So, the probability distribution of X is as given below:

`{X}: 1 2 3 4 5 {P}({X}): frac{1}{6} frac{1}{6} frac{1}{6} frac{1}{6} frac{1}{6} frac{1}{6} `

Therefore,


`overline{{X}}=frac{1}{6} times 1+frac{1}{6} times 2+frac{1}{6} times 3+frac{1}{6} times 4+frac{1}{6} times 5+frac{1}{6} times 6`



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