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Question -

An urn contains 5 red and 2 black balls. Two balls are randomly drawn. Let X represent the number of black balls. What are the possible values of X? Is X a random variable?



Answer -

Given urn containing 5red and 2 black balls.

Let R represent redball and B represent black ball.

Two balls are drawnrandomly.

Hence, the samplespace of the experiment is S = {BB, BR, RB, RR}

X represents thenumber of black balls.

тЗТ┬аX (BB) = 2

X (BR) = 1

X (RB) = 1

X (RR) = 0

Therefore, X is afunction on sample space whose range is {0, 1, 2}.

Thus, X is a randomvariable which can take the values 0, 1 or 2.

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