Answer :

Let X variable for the prize.


There is possibility of winning nothing, Rs 500,Rs 2000 and Rs 3000.


So, X will take these values.


Since there are 3 third prizes of 500 probability of winning third prize is .


1 first prize of 3000 probability of winning third prize is .


1 second prize of 2000 probability of winning third prize is .



Since, E(X)= X(PX)






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