Question: Find the probability density function of Y = eX when X is normally distributed with parameters and 2. The random variable Y is said

Find the probability density function of Y = eX when X is normally distributed with parameters μ and σ2. The random variable Y is said to have a lognormal distribution (since log Y has a normal distribution) with parameters μ and σ2.

Step by Step Solution

★★★★★

3.52 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

F Y x Pe X x P... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

588-M-S-C-R-V (730).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

The random variable X has a cumulative distribution function Find the probability density function of X. for x 0.

A random variable Y is said to have a lognormal distribution if log Y has a normal distribution. Equivalently, we can write Y = e X , where X has a normal distribution. (a) If X 1 , X 2 , . . . is an...

The probability density function of the random variable X is given by Find the expected value of the random variable X. 0

30. Find the probability density function of Y = e x when X is normally distributed with parameters and 2 . The random variable Y is said to have a lognormal distribution (since log Y has a normal...

Chesterfield Communications reported the following figures in its annual financial statements: View the figures. Compute the rate of inventory turnover and days' sales in inventory for Chesterfield...

Find the probability density function of Y = e X when is normally distributed with parameters and 2 . The random variable is said to have a lognormal distribution (since log has a normal...

Let X be a random variable with probability density function given by where and are strictly positive constants. Such a random variable is said to have a Weibull distribution with shape parameter ...

Let X1, X2,..., Xn are random samples from geometric distribution with the probability density function f(x|0) = (1 - 0)*-10, for x = 1,2,3,... with 0ol are parameters. Given E[X] = a) Find 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...

PART I: Multiple-choice questions (choose one answer ONLY) Each multiple-choice question has 3 marks. 1. In order to test H0 : = 50 vs Ha : = 506 , a random sample of 9 observations (from a normally...

22. Dependence can be created because of substitutability. (1 Point) O true false 23. Groupshift is a type of devil's advocacy. (1 Point) true false 24. The status characteristics theory suggests...

Skymont Company wants an ending inventory each month equal to 30% of that month's cost of goods sold. Cost of goods sold for February is projected at $45,000. Ending inventory at the end of January...

Question 1 A talk set is . . . A a 3 - 5 min pre - packaged radio programme a 5 - 8 min radio drama an important radio announcement when a DJ starts speaking

Apply the IFT to answer the same questions as in exercise 1 for the following functions: (a) u = x1x2 (b) (c) for (x1 , x2) , B, ++

What is the result if the amount of net income for the year is less than the amount of dividends paid? A The amount of the cash account increases B The retained earnings account decreases C The...

14. A paper in the May 2002 issue of The Journal of Pediatrics presented the results of research on various characteristics in children of diabetic mothers. The studies have shown that maternal...

Problem 9-17 Constant growth Your broker offers to sell you some shares of Bahnsen & Co. common stock that paid a dividend of $3.75 yesterday. Bahnsen's dividend is expected to grow at 5% per year...