Question: A spinner from a board game randomly indicates a real number between 0 and 10. The spinner is fair in the sense that it indicates

A spinner from a board game randomly indicates a real number between 0 and 10. The spinner is fair in the sense that it indicates a number in a given interval with the same probability as it indicates a number in any other interval of the same length.
(a) Explain why the function

is a probability density function for the spinner's values.
(b) What does your intuition tell you about the value of the mean? Check your guess by evaluating an integral.

0.1 if 0 S 10 0 if x

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