A spinner from a board game randomly indicates a real number between 0 and 20. The...
A spinner from a board game randomly indicates a real number between 0 and 20. 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 functionf(x) =
f(x)= |
| 0.05 | if | 0 ≤ x ≤ 20 |
| 0 | if | x < 0 or x > 20 |
is a probability density function for the spinner's values? ______________________________
(b) What does your intuition tell you about the value of the mean,
μ? Check your guess by evaluating an integral.
μ = ________
Homework Answers
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