How do i solve my statistics assignment?

Posted on 2014-12-16 06:07:00 in Statistics by MAYA

Please help with these four questions

1. A balanced 6-faced die is rolled once and the number of dots X is observed. Then a biased two sided coin (Pr {H} = 2/3) is tossed X times and the number of heads Y is observed. Find the following probabilities:

a. P(Y=3|X=5 )
b. P(Y=3) --- use the law of total probability
c. P(X=5|Y=3)

Please explain if possible

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