Consider the following probability density function of a random variable X c(x+1)², if−1≤x≤1, f(x) = 0, otherwise. (a) What is the value of c such that f (x) is a valid probability density function? (b) What is the mean and variance of X? (c) Let Y = X2, what is the mean of Y?

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A: It is an important part of statistics. It is widely used.

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A: Approach to solving the question: Detailed explanation:  Examples:     Key references:

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A: Dear students as per guidelines we answer the first three subparts only.