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Amplitude Modulation

Quick practice

Question 1 of 5

P_x(x)=a \exp (-2|x|)+b \exp (-3|x|)  is the probability density function for the real random variable X , over the entire x -axis. a and b  are both positive real numbers. The equation relating a and b  is

A

2 a+\frac{1}{3} b=1   

B

a+b=1  

C

a+b=3 

D

a+\frac{2}{3} b=1  

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