Question: 4. a) The random variable X is exponentially distributed with mean B. Let Y be the [20 Marks] integer part of X , that is,

4. a) The random variable X is exponentially distributed with mean B. Let Y be the [20 Marks] integer part of X , that is, if X e [n, n + 1), then Y = n. (i) Find fy(y), the probability function of Y. (ii) Derive Gy (z), the probability generating function of Y. (iii) Hence find E (Y) and E (Y?). (iv) Show that var (Y) =

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 Mathematics Questions!

Week 5 Homework 40 pts-Stacy True Student: Stacy True Date: 4/1/16 1. 4/1/16, 6:09 PM Instructor: JosephJoe D'Mello Course: Statistics for Decision Making (35) Assignment: Week 5 Homework 40 pts Find...

Name:_________________________________1(point) True/False: (Each question is worth 2 points) Indicate whether the statement is true or false. ____ 1. The length of time for which an apartment in a...

CoursHeroTranscribedText: OBJECTIVE: CONCEPTS 1. What requirements are necessary for a normal probability distribution to be a standard normal distribution? STUDY PLAN: 5.1.2, 5.1.3, 5.1.7 OBJECTIVE:...

OBJECTIVE: CONCEPTS 1. What requirements are necessary for a normal probability distribution to be a standard normal distribution? STUDY PLAN: 5.1.2, 5.1.3, 5.1.7 OBJECTIVE: COMPUTE AND INTERPRET...

4 Assume the random variable x is normally distributed with mean =89 and standard deviation =4. Find the indicated probability. P(79

Decision Sciences LeBow College of Business Drexel University 3220 Market Street Philadelphia, PA 19104 STAT 201 - Business Statistics I Final Name (Last, First) : Student ID Card# : Part I. T/F...

Assume the random variable x is normally distributed with mean u = 50 and standard deviation 6 = 7. Find the indicated probability. P(x > 38) P(x > 38) = D (Round to four decimal places as needed.)...

1.)Use the given statement to represent a claim. Write its complement and state which is H0 and which is Ha. 14 Find the complement of the claim. less than or equals not equals less than

Consider the idea behind Fig. 4-21, but now for a disk with a mean seek time of 6 msec, a rotational rate of 15,000 rpm, and 1,048,576 bytes per track. What are the data rates for block sizes of 1...

47GP: Chapter: CH0 CH1 CH2 CH3 CH4 CH5 CH6 CH7 CH8 CH9 CH10 CH11 CH12 CH13 CH14 CH15 CH16 CH17 CH18 CH19 CH20 CH21 CH22 CH23 CH24 CH25 CH26 CH27 CH28 CH29 CH30 Problem: 1CQ 1MCP 1P 2CQ 2MCP 2P 3CQ...

7. Fill-In Questions The upper turning point of a business cycle just before the onset of a recession is called the _______________ . (LO1)

QUESTION 3 Expertise is a potent personal base of power if it is possessed by a sufficiently large number of people in the organization. as long as a dependency relationship is maintained. only if it...

9. What is meant by the statements: a) Experiences are different from what is experienced. b) The description is different from what is described.

11. What is meant by the statement, as observers of social reality, we are always part of this reality?.

13. Give four examples of psychological Maginot lines.