Concept explainers
Consider the
introduced in Exercise 8.
a. Compute and sketch the cdf of Y. [Hint: Consider separately 0 ≤ y < 5 and 5 ≤ y ≤ 10 in computing F(y). A graph of the pdf should be helpful.]
b. Obtain an expression for the (100p)th percentile. [Hint: Consider separately 0 < p < .5 and .5 < p <1.]
c. Computer E(Y) and V(Y). How do these compare with the expected wating time and variance for a single bus when the time is uniformly distributed on [0, 5]?
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Chapter 4 Solutions
Probability and Statistics for Engineering and the Sciences
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