Mathematics, 05.05.2020 13:46 Lizzy527663
3. Suppose that Joanne tosses a fair coin with probability 1/2 of heads, and Jaden tosses a biased coin with probability p(≠1/2) of heads, at the same time. Joanne will get one point if both coins show the same outcome, and lose one point otherwise, in each trial where Joanne and Jaden toss their own coins simultaneously. That is, Joanne's point is +1 if both coins show the same outcome, and -1 otherwise, in each trial.
(a) Suppose that Joanne and Jaden simultaneously toss their own coins 20 times. Let X be the total points Joanne gets. Find the expected value of x², E(X²).
(b) Let Y be the number of tosses until both coins simultaneously show the same outcome. Find the expected value of Y^2, E(Y^2).
Answers: 1
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3. Suppose that Joanne tosses a fair coin with probability 1/2 of heads, and Jaden tosses a biased c...
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