Question: Let X be a random variable with distribution function F and Y be another random variable which is defined as where a and b are

Let X be a random variable with distribution function F and Y be another random variable which is defined asX, Y = b, if X a, if X > a,

where a and b are two real numbers. Write the distribution function FY of Y in terms of F, and b.

X, Y = b, if X a, if X > a,

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 Introduction To Probability Statistics Questions!

Q:

Let X be a random variable with distribution function F. The real number m that satisfies F(m) 0.5 F(m) is called the median of this distribution function. Assuming that F is known, and that it is...

Q:

5. Let X be a random variable whose distribution function F is a continuous function. Show that the random variable Y, defined by Y = F(X), is uniformly distributed on the interval (0, 1).

Q:

Let X be a random variable with density function f (x) = ex, x > 0. Let Y be another variable defined by Y = { X, if X 1, 1X, if X > 1. Find the distribution function, the density function and the...

Q:

1. (20 Points) Let X be a random variable with PDF f(x) = J c(1 - x2), -1 1. (20 Points) Let X be a random variable with PDF c(l F), 1

Q:

i need solution 2. (a) Let X be a random variable with probability function: 0.75 \"i ( ) form=0,1,2,... 19(3) = 4 0 otherwise. i. Derive the moment generating function of X. ii. Using the moment...

Q:

answer the question clearly You are building a flight-control system for which a convincing safety case must be made. Would you assign the tasks of safety requirements engineering, test case...

Q:

Instuctor's Annotated Edition TENTH EDITION Understandable Statistics Concepts and Methods Charles Henry Brase Regis University Corrinne Pellillo Brase Arapahoe Community College Australia Brazil...

Q:

Set Student Name: 1. Describe the relationship between two variables that have a correlation coefficient value: a. Near -1 b. Near 0 c. Near 1 2. Data was collected where a weightlifter was asked to...

Q:

Consider the Markov Chain, Xn, on the states i = 0, 1, 2, . . . with transition matrix given by pi,i1 = p i = 1, 2, . . . pi,i+1 = 1 p i = 0, 1, . . . p0,0 = p where 0

Q:

Q #1 Submitted 8. [0.4/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 7.3.017.5. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE For this problem, carry at least four digits after the decimal in your...

Q:

Doug returned to his apartment after meeting with his accounting professor from his sophomore year. He was working on a business plan to present to his parents and knew that he needed to provide his...

Q:

After a year or so of adequate training, VO2Max reaches a plateau and does not increase further. However, additional training can allow the person to exercise at a higher percentage of their VO2Max,...

Q:

A company has the following capital structure: Debt: $ 1 , 0 0 0 , 0 0 0 at an 8 % interest rate, which will increase to 1 0 % if debt rises by 2 0 % . Equity: $ 1 , 5 0 0 , 0 0 0 with a 1 5 % cost ....

Q:

Graph inequality. y > (x - 1) + 2

Q:

10.93 At Home or at School? Four sets of iden- tical twins (pairs A, B, C, and D) were selected at random from a computer database of identical twins. One child was selected at random from each pair...

Q:

10.92 Orange Juice A comparison of the precisions of two machines developed for extracting juice from oranges is to be made using the following data: a. Is there sufficient evidence to indicate that...

Q:

10.91 Sun or Shade? Karl Niklas and T.G. Owens examined the differences in a particular plant, Plantago Major L., when grown in full sunlight versus shade conditions. In this study, shaded plants...

Q:

Chapter 10 Homework 1 12.5 points Marvel Parts, Inc., manufactures auto accessories. One of the company's products is a set of seat covers that can be adjusted to fit nearly any small car. The...

Q:

1-GIVING THE FOLLOWING SCREENSHOT, Function Used Time Reference & Trig Functions Manager Create a select Function Library Defined Names H1 A fx average B C D E F G H 1 revenues & costs per month...

Q:

Account Account Balance 12/31/16 Cash Balance 12/31/17 $75,000 Cash $15,000 Accounts Receivable, net $50,000 Accounts Receivable, net $65,000 Inventory |$50,000 Inventory $90,000 Prepaid rent $20,000...