Question: 1. Let X be a random variable with probability density function $$f(x) = begin{cases} c(1-x^2) & -1

1. Let X be a random variable with probability density function

$$f(x) = \begin{cases}

c(1-x^2) & -1

0 & \text{otherwise}

\end{cases}$$

(a) What is the value of c?

(b) What is the cumulative distribution function of X?

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