Question
X is a random variable with an exponential distribution with rate= 0.7 Thus the pdf of X is f(x) = e x for 0x where=
X is a random variable with an exponential distribution with rate= 0.7 Thus the pdf of X is f(x) =ex
for 0x where= 0.7.
a) Using the f(x) above and the R integrate function calculate the expected value of X.
b) Using the f(x) above and the R integrate function calculate the expected value ofX0.2
.
c) Using the dexp function and the R integrate command calculate the expected value of X.
d) Using the pexp function find the probability that .33X1
e) Calculate the probability that X > 0.15 by using the pexp function
f) Calculate the probability that X is at least 1.5 more than its expected value. Use the pexp function
g) Copy your R script for the above into the text box here.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started