A sports team named Philadelphia Streets has a probability of (2/3) for winning each game against their division rivals Hockeytown. They play 12 games against each other during the season. Assume that the outcome of any particular game is independent from an outcome of any other game. Let X be the random variable that stands for the number of wins that Philadelphia Streets will have in those 12 games. What is the expected value of X?

Q: A sports team named Philadelphia Streets has a probability of (2/3) for winning each game against their division rivals Hockeytown. They play 12 games against each other during the season. Assume that the outcome of any particular game is independent from an outcome of any other game. Let X be the random variable that stands for the number of wins that Philadelphia Streets will have in those 12 games. What is the expected value of X?

or

Q: The odds of Philadelphia Streets, a sports team, defeating Hockeytown, their division opponents, in every game are 2/3. Throughout the season, they face off in 12 games. Assume that each game’s result is unrelated to the results of any other games. The amount of victories Philadelphia Streets will have in those 12 games may be represented by the random variable X. What is X’s anticipated value?

• 12
• 8
• 4
• 6
• 10

Explanation: The expected number of wins $E(X)$ for the Philadelphia Streets in 12 games against Hockeytown is 8.