Purchase Solution

Continuous random variable

Not what you're looking for?

Ask Custom Question

probability density function -

f(x) = { x^2/ 9 , 0<x<3 (x is greater than or EQUAL to 0 and less than or EQUAL to 3)
{ 0, otherwise

Let Y= 9X/5 + 32. Find E(Y) and STD(Y).

Purchase this Solution

Solution Summary

Using density function of a variable (x), we estimate expected value and standard deviation of for another variable (y) which is related to variable of given density function.

Solution Preview

probability distribution function (pdf) for x:
f(x) = x^2/9 (for 0 le x le 3); else 0 (NOTE: le: less than or equal to)

Required quantities:

P(X) = integration(0 to 3) (f(x)) dx = integration(0 to 3) (x^2/9) dx = 1

E(X) = integration[0 to 3] (x*f(x)* dx) = integration[0 to 3] (x^3/9) = x^4/(4*9)|[0 to 3] ...

Solution provided by:
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
Recent Feedback
  • " In question 2, you incorrectly add in the $3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
  • "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
  • "Answer was correct"
  • "Great thanks"
  • "Perfect solution..thank you"
Purchase this Solution


Free BrainMass Quizzes
Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.