Penelope is playing in a 32-player chess tournament. The probability of her playing exactly 1 game is 3/16, exactly 2 games is 1/4, exactly 3 games is 3/8, exactly 4 games is 1/8, and exactly 5 games is 1/16. Determine Penelope's expected value.

Question

Mathematics

Kamora

22 September, 00:42

Penelope is playing in a 32-player chess tournament. The probability of her playing exactly 1 game is 3/16, exactly 2 games is 1/4, exactly 3 games is 3/8, exactly 4 games is 1/8, and exactly 5 games is 1/16. Determine Penelope's expected value.

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Answers (1)

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Mike Knight · Answer 1

2 5/8

Step-by-step explanation:

The expected value is the sum of each outcome times its probability.

X = 1 (3/16) + 2 (1/4) + 3 (3/8) + 4 (1/8) + 5 (1/16)

X = 3/16 + 1/2 + 9/8 + 1/2 + 5/16

X = 2 5/8