Question: If Y is a random variable with density function f(y) = (1/2)e^-|y| where y is for all real numbers, what is E[Y] (expectation of Y)

If Y is a random variable with density function f(y) = (1/2)e^-|y| where y is for all real numbers, what is E[Y] (expectation of Y) and Var[Y] (variance of 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!

Let g(x) = cifi(x) + c2f2(x) + c3f3(x) where fi, f2, f3 are probability density functions with associated means and variances /1, 07, /2,07, M3,02. In other words, if a continuous random variable has...

Please help solve the following microeconomic question. Thank you (i) A random variable Y has density of exponential family form: vo-b(0 ) f ()) = exp + c(),0) a(g) State the mean and variance of Y...

Suppose that a continuous variable X has density function f (x) = { cxs, 0 x a, 0 elsewhere, where a and s are two given positive real numbers, while c is a suitable constant. (i) Find the value of...

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

Please explain to me clearly and show how to do the two suppositions in the (question) file. Please take a look at the (notes) file and see the material up to the questions will be needed to answer...

Exercises Chapter 2 2.1 Marginal and conditional probability: The social mobility data from Section 2.5 gives a joint probability distribution on (Y1 , Y2 )= (father's occupation, son's occupation)....

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...

I NEED HELP ASAP.BE SURE TO ANSWER 3.64. (a) Find the moment generating function of a random variable X having density function (b) Use the generating function of (a) to find the first four moments...

Math230, 2017-18: Workshop, Coursework & Quiz Questions Coursework and Quiz marks The maximum mark obtainable through the handwritten coursework is 15 for CW01CW09. Each week there are two or three...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Measurement errors are normally distributed with a mean of 0 mm and a standard deviation of 0.01 mm. Find the probability that a given measurement is within 0.012 mm of the true value. Using a table...

What quarterly compounded interest rate is the equivalent of 10.8127 % compounded annually? Real Rate of Return = (nominal, annual rate of return- annual inflation rate)/(1+inflation rate) After-Tax...

Visit the website of the Pew Research organization at www .pewresearch.org. Read todays top story. What type of data source is the top story based on?

Following are two weekly forecasts made by two different methods for the number of gallons of gasoline, in thousands, demanded at a local gasoline station. Also shown are actual demand levels, in...

Context, i.e. the context of the information presented and received

1. To gain insight into why we believe more in one type of information than another.

2. In this chapter, the reader should reflect on the following concepts: emo-tional information, concrete information, local information, the reference object, consensus information, conflict...