What is the slope of this
1 answer:
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Answer:
(a)Charlie is right
(b)$0
Step-by-step explanation:
(a)A game is said to be a fair game when the probability of winning is equal to the probability of losing. Mathematically, a game is said to be fair when the expected value is zero.
In the game, the possible outcomes are: HH, HT, TH and TT.
Charlie wins when the outcome is HH, TT
- P(Charlie Wins)=2/4
- P(Charlie Losses)=2/4
Lucy wins when the outcome is HT or TH
- P(Lucy Wins)=2/4
- P(Lucy Losses)=2/4
Therefore, the game is fair. Charlie is right.
(b)
If the outcome is HH, Lucy pays $3.
If the outcome is HT or TH, Lucy gets $2.
If the outcome is TT, Lucy pays $1.
The probability distribution of Lucy's profit is given below:
Expected Profit
Lucy's expected profit from the game is $0.
Answer:
14 knots
Step-by-step explanation:
We know the speed (55 knots) is 6 more than 3.5 times the winner of the monohull in the 2007 tournament.
So let's set the variable for the speed of the monohull to <em>m</em>. Now, let's set up an equation:
We can solve this by first subtracting 6 from both sides to get:
Dividing both sides by 3.5 we get:
That means that the top speed of the monohull in the 2007 tournament was 14 knots