Question: could you explain it? Problem 5. The moment generating function of X is given by Mx (t) = exp(3et - 3) and that of Y

could you explain it?

Problem 5. The moment generating function of X is given by Mx (t) = exp(3et - 3) and that of Y by My (t) = (et/2 + 1/2)5. If X and Y are independent, what are (a) P( X + Y = 2). ( b) P(XY = 0). (c) E[XY]

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!

Let the discrete random variable X have the binomial distribution with parameters n and p. (a) Prove that the moment generating function for X is given by: mX (t)=(p(et 1)+1)n . (b) Prove that the...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

A n s w er t h e f o ll o w in g q u es t i o n scorrec tl y : Questions.,, Case Study 2: American Water Keeps Data Flowing American Water, founded in 1886, is the largest public water utility in the...

please answer both and show working 1. (25 points) Two fair 6 sided dice are rolled. What is the probability that (a) a ve turns up exactly once? (b) at least one die roll is a ve, given that the two...

Answer all questions precisely. Please explain your answers fully. Question one. a) Define the term cross price elasticity of demand and explain its value for substitutes andcomplementary...

Read through the attachments below and answer the questions accordingly. Currently there is a debate about cigarette advertising. Some anti-smoking advocates would like to ban cigarette advertising....

Help me please. Am stuck. The events that lead to potential claims on a policy arise as a Poisson process at a rate of 0.8 per year. However the policy is limited such that only the fust luce claims...

Let (X1, Y1), . . . , (Xm Y\"), be a random sample from a bivariate normal distribution with parameters p1,p2,af,a,p. (Note: (X1,Y1), ..., (XmYn) are independent). What is the joint distribution of...

In this problem we apply concentration inequalities to sums of independent but not iden- tically distributed random variables. If the university has n students, let Xj denote the indicator that...

Kindly answer all in details with explanation 1 (i) Explain with the aid of formulae what is meant by the term 'Standardised Mortality Ratio' (ii) For a certain year, the estimated mid-year...

Which compound in each of the following pairs of ionic substances has the most exothermic lattice energy? Jus-tify your answers. a. LiF, CsF b. NaBr, NaI c. BaCl2, BaO d. Na2SO4, CaSO4 e. KF, K2O f....

Morris Glass Company has decided to invest funds for the next 5 years so that the development of "smart" glass is well funded in the future. This type of new-technology glass uses electro-chrome...

Rania is just learning about Time Value of Money and has trouble understanding how to make the most of an investment's future value. Which of the following factors contributes to faster growth in...

At the beginning of Year 2, Oak Consulting had the following normal balances in its accounts: Account Balance Cash $ 42,000 Accounts receivable 25,000 Accounts payable 8,400 Common stock 24,000...