then what is the marginal density function of X, where nonzero?
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![27. If the joint density of the random variables X and Y is
[emin{x,y) - 1] e-(x+y)
if 0 < x, y <∞
f(x, y) =
0
otherwise,
then what is the marginal density function of X, where nonzero?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8020c2ff-a953-4183-8fd3-32b86da8a816%2Fe99a8bf5-1f4f-4e13-aa7f-c4509235219e%2F2xjjrya_processed.png&w=3840&q=75)
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- Help me fast with detail explanation. Definitely I will give Upvote.Consider the functionf(x)=1/x, defined on the interval 1≤ x≤ e describe the shape of distribution after graphing the density function.Let X have a uniform distribution on the interval 0 to theta with density function f(x) = 1/ theta, for 0<= x <= theta f (x) = 0, otherwise. (a) Find the survival function of X .(b) Find the hazard rate of X .(c) Find the mean residual-life function. answer a,b,c
- Suppose that the joint distribution function of X and Y is given by f (x, y) =x+y If 0 < x < 1 and 02. An investor's losses follow a distribution with density function, f(x) =, x > 1 and 0 everywhere else, To recover her losses, the investor purchases an insurance policy with a deductible of $1. Show that the insurance company will go bankrupt. Hint: The expected amount of the losses paid by the company is too large.X and Y re random losses with joint density funcTion 2C forocn<00 500000 An Insurance losses pays the total of the twX9 losses to a maximum and oey< lo0, 100 policy on the payment of 100 the expectic fpagment the insurer will make on this policy."Medians, etc problem." Suppose X has density x−2 for x ≥ 1. Find the density function for Y = X2.A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after the hour. Let X be the time that elapses between the end of the hour and the end of the lecture and suppose the pdf of X is fo fkr², if 0Suppose X and Y have joint density f(x,y)=10x2y, 0<y<x<1. Find the marginal density of X.Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON