ACTIVITY #1 1. TOSSING THREE COINS Suppose three coins are tossed. Let Y be the random variable representing the number of the tails that turn up. Find the values of the random variable Y. Complete the table below.
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ACTIVITY #1 1. TOSSING THREE COINS Suppose three coins are tossed. Let Y be the random variable representing the number of the tails that turn up. Find the values of the random variable Y. Complete the table below.
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The possible values of the random variable Y are 0, 1, 2, and 3. This is because when tossing three coins, it is possible to get 0 tails, 1 tail, 2 tails, or 3 tails (which would be getting all tails)
y P(Y = y)
0 (1/2)^3
1 3 * (1/2)^2 * (1/2)
2 3 * (1/2)^1 * (1/2)^2
3 (1/2)^0 * (1/2)^3
Note that the probability of getting y tails out of 3 coins is (3 choose y)*(1/2)^y * (1/2)^3-y
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