1
Question
A continuous random variable X has a probability density function f(x)=e−x, 0<x<∞. Then P{X > 1} is
A continuous random variable X has a probability density function f(x)=e−x, 0<x<∞. Then P{X > 1} is
Open in App
Solution
The correct option is A 0.368
f(x)=e−x, 0<x<∞
P(x>1)=∫∞1f(x)dx
=∫∞1e−x dx
=−[e−x]∞1
=−[0−e−1]
=1e=0.368.
f(x)=e−x, 0<x<∞
P(x>1)=∫∞1f(x)dx
=∫∞1e−x dx
=−[e−x]∞1
=−[0−e−1]
=1e=0.368.
Suggest Corrections
6
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
