two person are sleceted at random out fo 9 girls and 11 boys without replacement. IF 605 is fofered for selecting two girls, what is the mathetmatical expectation

Step-by-step explanation:

Given

Required

Expected value of selecting two girls if 605 is offered

First, we need to calculate the number of persons.

The probability of selecting the first girl is:

Because, it is a selection without replacement, the number of girls and number of persons have reduced by 1 respectively.

So, the probability of selecting the second girl is:

The probability (p) of both selection being girls is:

The mathematical expectation E(x), is then calculated using:

In this case:

n = Offered Amount

So:

Hence, the mathematical expectation is 114.63

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step-by-step explanation: