Which expression represents the following description? An investment of $10,000 compounded continuously at an annual interest ra
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The expected gain or loss is an illustration of mean and expected values.
The expected total gain is 83 points
The given parameters are:
- Addition of 20 points for rolling a 6
- Removal of 3 points for not rolling a 6
The probability of rolling a 6 in a fair die is 1/6.
The probability of not rolling a 6 in a fair die is 5/6.
So, the expected gain in each game is:
Take LCM
The number of games is 100.
So, the expected gain is:
Hence, the expected total gain is 83 points
Read more about expected value at:
Simply replace each x with the given value of x.
<u>When x = -2:</u>
<u>When x = -1:</u>
<u>When x = 0:</u>
<u>When x = 3:</u>
OR you could use a graph for this, here is how the function is going to look:
