Paul and his friends average their test grades and find that the average is 95 the teacher announces that the average grade of a
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Answer:
Step-by-step explanation:
For each game, the Philadelphia Streets team can only have two outcomes. Either they win, or they do not win. The outcome of any particular game is independent from an outcome of any other game. This means that we can solve this problem using concepts of the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes, with probability p, on n repeated trials, and X can only have two outcomes.
The expected value of X is given by the multiplication of p and n.
In this problem, we have that:
They play 12 games, so .
Philadelphia Streets has a probability of (2/3) for winning each game against their division rivals Hockeytown, so .
What is the expected value of X?