Question: Probability density function of x is given f(x) = x/100 + 1/10, if -5 < x < 5 and 0, otherwise Let Y = X^2.

Probability density function of x is given f(x) = x/100 + 1/10, if -5 < x < 5 and 0, otherwise

Let Y = X^2. Find the probability density function of X^2. State clearly the range of Y for which

the density is positive.

Let Z be the largest integer less than or equal to X. Find the probability mass function of Z. State clearly all the values that can be assumed by Z with positive probabilities.

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