ELEG 3143 Lecture 9: Expected Value of a Derived Random Variable, Variance and Standard Deviation

• School: University of Arkansas
• Department: Electrical Engineering
• Course: ELEG 3143
• Professor: Robert Saunders

Document Summary

Lec 9 expected value of a derived random variable, 3. 7 expected value of a derived random variable. Shipping company offers . 00 for first pound, sh. 90 for the 2nd, etc. , down to sh. 60 for the fifth, with rounding up for a fraction of a pound. All packages between 6 and 10 pounds will be charged . 00 per package. Derived random variable - each sample value y of a derived random variable y is a mathematical function g(x) of a sample value x of another random variable x. Find for the charge in cents for sending one package. It is not necessary to find the pmf or cdf of y in order to find it"s expected value. If y = g(x) then e[y] can be calculated from and without deriving. Given a random variable x with pmf and the derived random variable , For any random variable x, the expected value of y is.