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