Explore BrainMass

Explore BrainMass

    Finding the Probability Density Function

    Not what you're looking for? Search our solutions OR ask your own Custom question.

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

    Let X be a random variable with probability density distribution given by

    f(x) = { x, 0 (less than or equal to) x (less than or equal to) 1,
    1, 1 < x (less than or equal to) 1.5
    0, otherwise.

    Find the probability density function of Y=10X - 4.

    © BrainMass Inc. brainmass.com October 4, 2022, 5:08 pm ad1c9bdddf
    https://brainmass.com/statistics/probability-density-function/finding-probability-density-function-504513

    SOLUTION This solution is FREE courtesy of BrainMass!

    Please see the attached file.

    Solution. We can find the probability mass function for Y.
    1) When
    2) When
    3) When
    4) When
    So, the probability density function of Y=10X-4 is

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

    © BrainMass Inc. brainmass.com October 4, 2022, 5:08 pm ad1c9bdddf>
    https://brainmass.com/statistics/probability-density-function/finding-probability-density-function-504513

    Attachments

    ADVERTISEMENT