What is the first order approximation for the mean of y

Reference no: EM13307074

Let X be a uniformly distributed continuous random variable ranging between 5 and 8, X ~ U[5 , 8]. Variable Y is a function of X: Y: h(X)= 2X^2+1

a. Determine the PDF of Y.
b. Find the expected value of Y.
c. Find the variance of Y.
d. Find the probability of Y > 100? Note that P(Y>y) = P(X=x) where y = h(x).
e. What is the first order approximation for the mean (expected value) of Y?

Reference no: EM13307074

Questions Cloud

What is their combined focal length : Two lenses having focal lengths of f1=15 cm and f2=9 cm are separated by a distance of 50cm. If the lenses are moved into contact, what is their combined focal length

Find max score and display : Write a program using functions to do the following tasks.

Determine what is the economic life of the challenger : The initial investment is $12,000 , there is no annual maintenance cost for the first 3 years , however , it will be $2,000 in each of years four and five , and then $4,500 in the sixth year and increasing by $2,500 each year thereafter .

Determine what is the position of the image : An object is 5 cm from an equi-convex lens of focal length f=15 cm, What is the position of the image

What is the first order approximation for the mean of y : Let X be a uniformly distributed continuous random variable ranging between 5 and 8, X ~ U[5 , 8]. Variable Y is a function of X: Y: h(X)= 2X^2+1 a. Determine the PDF of Y. b. Find the expected value of Y.

Simulate standardised sum of independent variates : Fit a linear regression model as in Q5, and plot your estimates for β0 and β1 as N increases, together with a line indicating their true values.

Create a program that functions as simple boolean calculator : Create a program that functions as a simple boolean calculator for 32-bit integers. It should display a menu that asks the user to make a selection from the following list.

How many clock cycles are needed : Indicate data dependency in the above code. Assuming there is no forwarding in the pipeline, how many clock cycles are needed to finish the program? If full forwarding is used, how many clock cycles are needed?

Design an audio amplifier using a jfet : Design an audio amplifier using a JFET and a 20-volt power supply. The amplifier is to have a gain of 50

User Account

All Pages