Answer :

Given : Four rotten oranges are mixed with 16 good ones. Three oranges are drawn one by one without replacement.


To find : mean (𝓊) and variance (σ2)


Formula used :



Mean = E(X) =


Variance = E(X2) -


Mean = E(X) = = x1P(x1) + x2P(x2) + x3P(x3)


Four rotten oranges are mixed with 16 good ones. Three oranges are drawn one by one without replacement.


Let X denote the number of rotten oranges drawn


There are 4 rotten oranges present in 20 oranges


P(0) = = =


P(1) = = =


P(2) = = =


P(3) = = =


The probability distribution table is as follows,



Mean = E(X) = 0() + 1() + 2() + 3() = 0 + + + =


Mean = E(X) = =


= =


E(X2) = = P(x1) + P(x2) + P(x3)


E(X2) = () + () + () + () = 0 + + + =


E(X2) = =


Variance = E(X2) - = = =


Variance = E(X2) - =


Mean = E(X) =


Variance =


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