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In: Statistics and Probability

Suppose that an individual showing up to a bus stop must wait x minutes for a...

Suppose that an individual showing up to a bus stop must wait x minutes for a bus, where x follows a uniform distribution between 0 and 45 minutes.

1. What is the probability that someone will have to wait between 30 and 40 minutes for a bus?

2. If we took many random samples of 50 people waiting for the bus, the sampling distribution of the average wait time of these samples should be normal with a mean of _______ minutes and a standard deviation of ______ minutes. Are these responses to this question parameters or statistics?

3. If we took one random sample of 50 people waiting for the bus, the chance that the mean of our sample falls between 20 and 25 minutes?

4. If the distribution of bus waiting times was an exponential distribution with the same mean what would the probability be that someone would have to wait more than 30 minutes for a bus?

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orchestra answered 2 years ago
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