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The durations of calls to a radio talk show are known to be exponentially distributed with a mean of 3 minutes.
a. What is the probability that a call will last less than 2 minutes?
b. What is the probability that a call will last longer than 4 minutes?
c. Given that a call has already lasted 4 minutes, what is the probability that it will last at least another 4 minutes?
d. Given that a call has already lasted 4 minutes, what is the expected remaining time until it ends?
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A final exam in Sociology has a mean of 72 and a standard deviation of 9.2. if 35 students are randomly selected, find the probability that the mean of their test scores will be greater than 76.
A closed cylindrical can of fixed volume V has radius r. Find the surface area, S, as a function of r.
Explain why the following two approaches arrive at the same number for the value of a final good
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