Question

In: Statistics and Probability

2. Let X be a continuous random variable with PDF ?fx(x)= cx(1 − x), 0 <...

2. Let X be a continuous random variable with PDF ?fx(x)= cx(1 − x), 0 < x < 1,

0 elsewhere.

(a) Find the value of c such that fX(x) is indeed a PDF.

(b) Find P(−0.5 < X < 0.3).

(c) Find the median of X.

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