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Exercise gave the following table for the probability distribution of X = number of wins in three independent plays of a game for which the chance of winning each game = .2.
X = Number of wins
0
1
2
3
Probability
.512
.384
.096
.008
a. What is the expected value of X?
b. Write a sentence that interprets the expected value of X in this situation.
Exercise The following table gives the probability distribution for X = number of wins in 3 plays of a game for which the chance of winning each game = .2, and plays are independent.
a. Find P(X ≤ 1), the probability of winning one or fewer games in three plays.
b. Find P(X > 1), the probability of winning more than one game in three plays.
c. Create a table that gives the cumulative probability distribution for X.
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