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