Solution Found!
Let the random variable X be equal to the number of days
Chapter 3, Problem 24E(choose chapter or problem)
Problem 24E
Let the random variable X be equal to the number of days that it takes a high-risk driver to have an accident. Assume that X has an exponential distribution. If P(X < 50) = 0.25, compute P(X > 100 |X > 50).
Questions & Answers
QUESTION:
Problem 24E
Let the random variable X be equal to the number of days that it takes a high-risk driver to have an accident. Assume that X has an exponential distribution. If P(X < 50) = 0.25, compute P(X > 100 |X > 50).
ANSWER:
Answer
Given P(X<50)=0.25
Here we have to compute the value of P(X>100/X>50)
The pmf of exponential distribution is P(x)=, 0
x<
Step 1 of 2
P(X>100/X>50)=
=
=
=
=
=e(-100+50)/
=e-50/
=P(X> 50)