Need the ans for g and h 4.DETAILSa) What is the expected value of X? 2The lifetime, X, of a particular integrated circuit has an exponential distribution with rate of λ=0.5 per year. Thus, the density of X is:f(x,^) = λ e-^x for 0 ≤ x ≤ ∞, λ = 0.5. is what R calls rate.Hint: This is a problem involving the exponential distribution. Knowing the parameter for the distribution allows you to easily answer parts a,b,c and use the built-in R functions for theexponential distribution (dexp(), pexp(), qexp()) for other parts. Or (not recommended) you should be able to use the R integrate command with f(x) defined as above or with dexp() for all parts.b) What is the variance of X?c) What is the standard deviation of X? 2d) What is the probability that X is greater than its expected value? 0.3679e) What is the probability that X is > 5? 0.0821f) What is the probability that X is> 10? 0.0067Enter a number.g) What is the probability that X > 10 given that X > 5?h) What is the median of X?MY NOTES1) Enter any comments in the text box below.ASK YOUR TEACHER

Answered: Image /qna-images/answer/43a1fab5-b06e-4747-a40d-7b911fa780ff.jpg

Answered: e) What is the probability that X is>…

e) What is the probability that X is> 5? 0.0821 f) What is the probability that X is> 107 0.0067 Enter a number. g) What is the probability that X > 10 given that X > 5?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Need the ans for g and h

4.
DETAILS
a) What is the expected value of X? 2
The lifetime, X, of a particular integrated circuit has an exponential distribution with rate of λ=0.5 per year. Thus, the density of X is:
f(x,^) = λ e-^x for 0 ≤ x ≤ ∞, λ = 0.5. is what R calls rate.
Hint: This is a problem involving the exponential distribution. Knowing the parameter for the distribution allows you to easily answer parts a,b,c and use the built-in R functions for the
exponential distribution (dexp(), pexp(), qexp()) for other parts. Or (not recommended) you should be able to use the R integrate command with f(x) defined as above or with dexp() for all parts.
b) What is the variance of X?
c) What is the standard deviation of X? 2
d) What is the probability that X is greater than its expected value? 0.3679
e) What is the probability that X is > 5? 0.0821
f) What is the probability that X is> 10? 0.0067
Enter a number.
g) What is the probability that X > 10 given that X > 5?
h) What is the median of X?
MY NOTES
1) Enter any comments in the text box below.
ASK YOUR TEACHER

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