The time to wait for the bus from London to Northampton is uniformly distributed from 0 to 75 minutes. What is the 90th percentile sample average wait time for a sample of 100 riders?
Added by Samantha E.
Step 1
First, we need to find the mean and standard deviation of the uniform distribution. For a uniform distribution from $a$ to $b$, the mean is $\mu = \frac{a+b}{2}$ and the standard deviation is $\sigma = \frac{b-a}{\sqrt{12}}$. Show more…
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The time to wait for a particular rural bus is distributed uniformly from zero to 75 minutes. One hundred riders are randomly sampled to learn how long they waited. The $90^{\text { th }}$ percentile sample average wait time (in minutes) for a sample of 100 riders is: a. 315.0 b. 40.3 c. 38.5 d. 65.2
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