The Cougars basketball team sold tins of flavored popcorn as a fundraiser. The players competed for prizes to see who could sell
the most tins. This box plot shows the results.
Popcorn tins sold
What fraction of the players sold between 8 and 16 popcorn tins?
Popcorn tins sold
What fraction of the players sold between 8 and 16 popcorn tins?
1 answer:
You might be interested in
You know how a puppy is a kind of dog, but not all dogs are puppies? Well, the same thing is true for lots of other categories of things, including squares and rectangles.
The game is not fair as 6 times the expected sum is less than the cost, $43.
In the question, we are asked if the game is fair.
For the game to be fair, 6 times the expected sum for the pair from the game has to be greater than or equal to $43, that is,
6E(X) ≥ 43.
The expected sum for the pair, E(X) can be calculated using the formula,
E(X) = ∑x.p(x),
or, E(X) = 1/18 + 1/6 + 1/3 + 5/9 + 1/6 + 7/9 + 10/9 + 1 + 5/6 + 11/18 + 1/3,
or, E(X) = 107/18.
Now, 6E(X) = 6*(107/18) = 107/3 = 35.67.
Since, the total return from the game is $35.67, which is less than the cost of $43, the game is not fair.
Learn more about expected return from a game at
#SPJ4
