Explore BrainMass
Share

Explore BrainMass

    Functions of Random Variables - The method of distribution functions

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    See the attached file.

    1) Let Y be a random variable with a density function given by

    f(y1) = 3/2y^2 , -1 <y1<1
    f(y1) = 0, elsewhere

    a) find the density function of U1 = 3Y using the method of distribution.
    b) find the density function of U2 = 3-Y using the method of distribution.
    c) find the density function of U3 = 3y^2 using the method of distribution.

    2) The amount of flour used per day by a bakery is a random variable Y that has an exponential distribution with mean equal to 4 tons. The cost of the flour is proportional to U=3Y+1
    a) Find the probability density function for U. (using method of distribution)
    b) Use the answer in a) to find E(U).

    © BrainMass Inc. brainmass.com October 9, 2019, 3:54 pm ad1c9bdddf
    https://brainmass.com/statistics/probability-density-function/functions-random-variables-distribution-functions-16878

    Attachments

    Solution Summary

    Density functions are found in the solution. The solution is detailed and well presented.

    $2.19