Question

If the maximum of the two scores is recorded, what is the expected recorded score? (Enter your answer to two decimal places.) x

Answer 1

To find the expected recorded score when the maximum of two scores is recorded, you need to consider the range of possible scores and their probabilities. The expected recorded score would be the average of the two scores, weighted by their probabilities.

Step-by-step explanation:

To find the expected recorded score when the maximum of two scores is recorded, you need to consider the range of possible scores and their probabilities. Let's say there are two scores: A and B. The probability of score A being the maximum is 0.5, and the probability of score B being the maximum is also 0.5. Since the maximum of the two scores will be recorded, the expected recorded score would be the average of the two scores, weighted by their probabilities.

Expected recorded score = (Probability of score A being maximum × Score A) + (Probability of score B being maximum × Score B)

For example, if score A is 80 and score B is 90:

Expected recorded score = (0.5 × 80) + (0.5 × 90) = 85