Explore BrainMass

Explore BrainMass

    Probability distribution function

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

    Please see the attached file for full problem description with all proper "X" symbols.

    ---
    Can you show me how to complete this kind of problem? Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" ( ) and "boys" ( ), which we write , , etc. For each outcome, let be the random variable counting the number of boys in each outcome. For example, if the outcome is , then . Suppose that the random variable is defined in terms of as follows: . The values of are thus:

    Outcome bbg bgg gbb bbb gbg ggb bgb ggg

    Value of X -6 -6 -6 -4 -6 -6 -6 -4

    Calculate the probability distribution function of , i.e. the function . First, fill in the first row with the values of , in increasing order. Then fill in the appropriate probabilities in the second row. Enter each probability as an exact fraction.

    © BrainMass Inc. brainmass.com June 3, 2020, 5:04 pm ad1c9bdddf
    https://brainmass.com/statistics/probability/probability-distribution-function-13061

    Attachments

    $2.19

    ADVERTISEMENT