Suppose we have a weightd coin which comes up heads with

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Reference no: EM13631601

1) Suppose X~Ber(p) and Y~Ber (q), with 0<p<1, 0<q<1, and let X, Y be independent. Determine the PMF for X+Y.

2) Suppose we have a weightd coin, which comes up heads with probability p. We toss the coin until we obtain a total of n heads (for some integer n>0). What is the expected number of tosses until the nth head?

3) Suppose that 7 people are selected for jury duty. None of the jurors know each other currently, but in the time before the trial each pair of jurors independently has a 0.2 probability of meeting. Let X be the number of jurors who have met at least one fellow juror before the trial. What is E(X)?

Reference no: EM13631601

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