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Chapter 3: Q8E (page 107)

Suppose that the p.d.f. of a random variable X is as follows:

f(x)={ \begin{aligned}c{e^{-2x}}\\0\end{aligned}

for x > 0, otherwise.

a. Find the value of the constant c and sketch the p.d.f.

b. Find the value of Pr (1 <X< 2)

Short Answer

Expert verified
  1. 2
  2. [e-6]

Step by step solution

01

Given the information

for x>0, otherwise

02

a) Find c and draw the sketch

03

b)

Find P (1<X<2)

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