1. Let X be a continuous random variable with the following probability density function: f(x): = { Sce-4x, x ≥ 0 0, elsewhere where c is a positive constant. (a) Find c. (b) Find the cumulative distribution function of X (c) Find Pr(2 < x < 5).

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1. Let X be a continuous random variable with the following probability
density function:
f(x):
=
{
Sce-4x,
x ≥ 0
0,
elsewhere
where c is a positive constant.
(a) Find c.
(b) Find the cumulative distribution function of X
(c) Find Pr(2 < x < 5).
Transcribed Image Text:1. Let X be a continuous random variable with the following probability density function: f(x): = { Sce-4x, x ≥ 0 0, elsewhere where c is a positive constant. (a) Find c. (b) Find the cumulative distribution function of X (c) Find Pr(2 < x < 5).
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