Answer to Question #347989 in Statistics and Probability for Subham Saikia Saha

Question

Let X be random variable with the probability density function

fn(x) ={cxⁿ(1−xⁿ) , 0≤x≤1

{0, otherwise.

1) Find the value of c.

2) Determine E[X] .

3) What happens to E[X] for large n?

4) Determine E[X²]

5)What happens to E[X²] for large n?

6)What happens to Var(X) for large n?

Answer 1

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