Question: If X has failure rate function (t), show that X 0 (t) dt is an exponential random variable with mean 1.

If X has failure rate function λ(t), show that

 X 0 λ(t) dt is an exponential random variable with mean 1.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Theory Of Probability Questions!

Q:

A tabular analysis of the transactions made during August 2022 by Wolfe Company during its first month of operations is shown as follows. Each increase and decrease in stockholders equity is...

Q:

In exercises find the derivative of the function by the limit process. = 1 x 1

Q:

Your monthly salary is $60,000 and you are applying for a 30-year mortgage for a self-use residential property (and assuming you do not have any other mortgage loans). What is the maximum loan (In...

Q:

Suppose you are the credit officer reviewing a credit proposal for a noncollateralized $10MM overdraft facility that is stated will be used to formalize an outstanding overdraft. What is our...

Q:

solve the following An instructor has given a short quiz consisting of two parts. For a randomly selected student, let X = the number of points earned on the first part and Y=the number of points...

Q:

write codes to generate this table by using python 3.1 How the Data is Collected and Analyzed Before we describe the methods that we use to learn the Lindley's recursion, we will describe how we...

Q:

Please provide the python code 4. (Coding) Let X be an exponential random variable Exp(a), so that the probability density function is f(x) = leds, for 2 > 0. Recall that the mean is p = 1/2 and the...

Q:

Problem # 1 Write a Python function named CentralLimitDemoExp that takes as input arguments: n - the number of samples to be taken from an exponential distribution, sample _ sizes - a 1 x 6 numpy...

Q:

Consider a period reversible nonstop time Markov chain having tiny change rates q furthermore, restricting probabilities {P). Allow A to mean a bunch of states for this chain, and consider another...

Q:

Introduction to Statistics course : here is the question 1-The Exponential Distribution note* The solution from this pictures 5.3 | The Exponential Distribution The exponential distribution is often...

Q:

You are keen on tracking down a 95% certainty span for the mean number of visits for exercise based recuperation patients. The information beneath show the quantity of visits for 14 haphazardly chose...

Q:

Health Services Management reference cited needed Define leadership and describe leadership theories and models. Comment which of these are most relevant to healthcare organizations.

Q:

The Badke Foundation was set up by the Fred Badke family following his death in 2001. Fred had been a very successful heart surgeon and real estate investor in San Diego, and the family wanted to set...

Q:

13 450 = 2 3 3 5 5 and 60 = 2 2 3 5 Use these facts to find a the HCF of 450 and 60 b the LCM of 450 and 60.

Q:

What is the definition of cooperative strategy, and why is this strategy important to firms competing in the current competitive landscape?

Q:

50. If X is uniform over (0, 1), calculate E[XN] and Var(A"*).

Q:

49. (a) Calculate E[X] for the maximum random variable of Exercise 35. (b) Calculate E(X) for X as in Exercise 32. (c) Calculate E[X] for X as in Exercise 33.

Q:

48. Calculate the variance of the Bernoulli random variable.

Q:

Cherokee Incorporated is a merchandiser that provided the following Information: Amount Number of units sold 11,000 Selling price per unit $ 16 Variable selling expense per unit $ 1 Variable...

Q:

2: The instructor emphasizes that the supplier master data is important in the internal controls in this business cycle. Please illustrate why the supplier master data is essential to manage risks

Q:

A successful sale results in the homeowner purchasing a solar heating system and obtaining rebates, tax credits, and financing for which SES completes all the paperwork. The company has identified...