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.
|
X = Number of wins
|
0
|
1
|
2
|
3
|
|
Probability
|
.512
|
.384
|
.096
|
.008
|
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.