Separating variables, we have
Integrate both sides.
Given that , we find
Then the particular solution is
and because , we take the negative solution to accommodate this initial value.
Part E
1 answer:
The option which makes more sense for Jake to choose is option (1) He can accept the tie, and the game is over.
<h3>How to determine the best option to choose?</h3>The complete question is added as an attachment
From the complete question, the probability in part D is
Probability = 33.5%
The options to choose one from are:
- Option 1: He can accept the tie, and the game is over.
- Option 2: He can make one more throw. Jake wins if he earns at least 30 points on the throw, but he loses if he earns less than 30 points.
The calculated probability is less than 0.5.
This means that Jake is more likely to lose than win
So, the best option for Jake is option (A) walk away
Hence, the option which makes more sense for Jake to choose is option (1) He can accept the tie, and the game is over.
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