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From a box of fruit containing 98 oranges and 1 apple a random sample of 2...

From a box of fruit containing 98 oranges and 1 apple a random sample of 2 pieces of fruit has been selected without replacement. Let X be the number of oranges and Y be the number of apples in the sample. What will the Variance of Y be?

Math   Statistics-And-Probability   
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Answer #1

Answer:

Given that,

From a box of fruit containing 98 oranges and 1 apple a random sample of 2 pieces of fruit has been selected without replacement.

Let X be the number of oranges and,

Y be the number of apples in the sample.

What will the variance of Y be:

98 oranges,

1 apple,

Total number of fruits=99

A random sample of 2 pieces of fruit has been selected without replacement.

Then, the variance of Y is,

E(Y)=2/99

Therefore, the variance of Y is 2/99.

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