Let U have a uniform distribution on the interval [0, 1]. Then observed values having this distribution

Question:

Let U have a uniform distribution on the interval [0, 1]. Then observed values having this distribution can be ob- tained from a computer's random number generator. Let X (1/A)In(1- U).

a. Show that X has an exponential distribution with param- eter A. [Hint: The cdf of X is F(x) = P(X x); X x is equivalent to U ?]

b. How would you use part

(a) and a random number gen- erator to obtain observed values from an exponential distribution with parameter = 10?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Probability And Statistics For Engineering And The Sciences

ISBN: 9781133169345

8th Edition

Authors: Jay L Devore, Roger Ellsbury

See More Books

Question Posted: Sep 16, 2024 02:00 PM

See More Questions

Assume an employee signs a non - disparagement clause. What would be considered breaking this clause? a . ) Telling a company's trade secret to a competing firm for a fee b . ) Using a work computer...
You will examine the examine scores for the two training centers, using spreadsheet data - ExamScore.xlsx. The label Center A is in Cell A1 and the label Center B is in cell B1. The examination...
Solve Prob. 5 by the explicit method with h = 0.3 and k = 0.01. Do 8 steps, compare the last values with the Crank-Nicolson 3S- values 0.107, 0.175 and the exact 3S-values 0.108, 0.175.
Let U have a uniform distribution on the interval [0, 1]. Then observed values having this distribution can be ob- tained from a computer's random number generator. Let X (1/A)In(1- U). a. Show that...
Presented below are comparative post-closing trial balances for a college. In addition, cash transactions for the year ended December 31, 2012, are summarized in the T-account. Comparative activity...
help both parts The shareholders' equity of Core Technologies Company on June 30,2017 , included the following: On April 1, 2018, the board of directors of Core Technologies declared a 10\% stock...
Consider an rv X with mean and standard deviation , and let g(X) be a specified function of X. The first-order Taylor series approximation to g(X) in the neighborhood of g(x) = g()+g() (X-p) The...
Let X denote the lifetime of a component, with f(x) and F(x) the pdf and cdf of X. The probability that the compo- nent fails in the interval (x, x + Ax) is approximately f(x) Ax The conditional...
Why is charge usually transferred by electrons rather than by protons?
4.1 The following data elements comprise the conceptual-level schema for a database: billing address cost credit limit customer name customer number description invoice number item number price...
How does selection differ from recruitment ?
1. A man on a motorcycle is initially at point A At time t = 0, the man travels along the + path shown to point B. The amount of time required to complete each segment of the 2 set path is also...
A 6 m high pier rests on a 2 m x 2 m square footing at 1-5 m depth from the surface at a site having uniform clayey soils. The unconfined compressive strength of the clay is 100 kPa and its bulk unit...
As an analyst for FinCorp Inc., you are responsible for many firms, including ADFC. Currently you have a "hold" recommendation on ADFC.20 The current price of ADFC is $140. You have conducted an...
A 1.30-kg toaster is not plugged in. The coefficient of static friction between the toaster and a horizontal countertop is 0.350. To make the toaster start moving, you carelessly pull on its electric...
Calculate the change in entropy when 100 kJ of energy is transferred reversibly and isothermally as heat to a large block of copper at (i) 0 C, (ii) 50 C.
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 earned on the second...
The difference between the number of customers in line at the express checkout and the number in line at the super-express checkout in Exercise 3 is X1 - X2. Calculate the expected difference.
Six individuals, including A and B, take seats around a circular table in a completely random fashion. Suppose the seats are numbered 1, . . . , 6. Let X = A's seat number and Y = B's seat number. If...

Let U have a uniform distribution on the interval [0, 1]. Then observed values having this distribution

Question:

Step by Step Answer:

Probability And Statistics For Engineering And The Sciences

Students also viewed these Business questions