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Math Help - joint probability question

  1. #1
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    joint probability question

    Hi!Can someone please help me with these 2 questions?
    Thanks in advance!

    1) The number of people entering the drugstore in a given hour is a Poisson random variable with parameter 10. Compute the conditional probability that at most 3 men entered the drugstore, given that 10 women entered in that hour. What assumptions have you made?

    2) Let
    f(x,y) = 24xy 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ x+y ≤ 1
    0 otherwise
    Show that f(x,y) is a joint probability density function and find E(X).
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  2. #2
    MHF Contributor harish21's Avatar
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    What problems have you had so far? Please show some of your work!
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  3. #3
    MHF Contributor matheagle's Avatar
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    we need more info on men vs women

    \int_0^1\int_0^{1-x}24xy dydx equals......

    and

    E(X)=\int_0^1\int_0^{1-x}24x^2y dydx
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