Find the cdf and pdf of y in the terms

Reference no: EM13846842

Let Y = eX.

(a) Find the cdf and pdf of Y in the terms of the cdf and pdf of X.

(b) Find the pdf of Y when X is a Gaussian random variable. In this case Y is said to be a lognormal random variable. Plot the pdf and cdf of Y when X is zero-mean with variance 1=8; repeat with variance 8.

Reference no: EM13846842

Questions Cloud

Calculate the sum of the squared coefficients : Verify that the Fourier Isometry holds on [-π, π] for f(t) = t. To do this, a) calculatethe coefficients of the orthogonal Fourier series from the orthogonal series representation, b)calculate the sum of the squared coefficients, and c) Calculate the..

The mean of the distribution is 15 : Given f(x) = 0.1 for 10 ≤x≤20. The mean of the distribution is 15 and the standard deviation is 2.89. Find the probability that x falls between 12 and 15.

Gaussian distribution : Problem 10: Gaussian distribution A binary transmission system transmits a signal X(

Write a coherent research paper : Choose a topic, formulate a descriptive title, and write a coherent research paper that will incorporate the following points: Define the problem, Research question and Needs (significance)

Find the cdf and pdf of y in the terms : Let Y = eX. (a) Find the cdf and pdf of Y in the terms of the cdf and pdf of X. (b) Find the pdf of Y when X is a Gaussian random variable. In this case Y is said to be a lognormal random variable. Plot the pdf and cdf of Y when X is zero-mean with..

What are five components of postretirement benefit expense : What are the five components of postretirement benefit expense?

Finding the annual tax rate of a county : I'm having a difficult time finding the annual tax rate of a county. Now, I took the purchase value of the property (415,000), divided it by 1,000 and multiplied that by the total consolidated tax rate (745.20). The end result = $308,013.00

Describe three components in the net post employment costs : In its 2013 annual report to shareholders, Marianne James Companies Inc. (MJCI) disclosed the information. Describe the three components in the net post employment costs disclosed by MJCI.

What do we know about mark community : As you read the Gospel of Mark, compile a list of at least 10 complete passages that focus on Jesus' twelve disciples (in which stories is the focus/spotlight on the disciples?). What do we know about Mark's community

User Account

All Pages