Answer:
(b) 4.50
Step-by-step explanation:
You want the expected value of a single roll of an 8-sided die.
The expected value of a roll is the sum of the roll values, each multiplied by its probability:
1/8 · (1 + 2 + ... + 8) = 36/8 = 4.50
The expected value of a single roll is 4.50.
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Additional comment
It seems odd that the expected value is not a value that can actually show up. It is the average value expected for a very large number of rolls of the die. (For a 6-sided die, it is 3.5.)
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