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Math Help - discrete random variables

  1. #1
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    discrete random variables

    in order to verify the accuracy of their financial accounts, companies use auditors on a regular basis to verify accouting entries. the company's employees make erroneous entries 5% of the time. Suppose that an auditor checks three entries.
    Find the probability distribution for Y, the number of errors detected by the auditor.
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  2. #2
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    Quote Originally Posted by mathlovet View Post
    in order to verify the accuracy of their financial accounts, companies use auditors on a regular basis to verify accouting entries. the company's employees make erroneous entries 5% of the time. Suppose that an auditor checks three entries.
    Find the probability distribution for Y, the number of errors detected by the auditor.

    well since no one answered you ill try my best to give you some direction.
    I couldnt find the actual answer, but I'm fairly certain I know how to do it.

    start of with a table

    I set X as 0-3, because thats how many total possible choices there are.
    The auditor, can either find no errors, 1 error, 2 errors or 3 errors.

    so now you just have to multiply the total # of way to get any of the errors, times the probability of getting an error.
    All the values for xp(x) should add up to one. If they dont, you did something wrong.

    X xp(x)
    0
    1
    2
    3
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  3. #3
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    Quote Originally Posted by mathlovet View Post
    in order to verify the accuracy of their financial accounts, companies use auditors on a regular basis to verify accouting entries. the company's employees make erroneous entries 5% of the time. Suppose that an auditor checks three entries.
    Find the probability distribution for Y, the number of errors detected by the auditor.
    Y ~ Binomial(n = 3, p = 1/20)
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