The food service manager conducted a random survey of students to determine their preference for new lunch menu items. Which of
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provided that
Similarly,
You can find the CDF/PDF using any of the various inversion formulas. One way would be to compute
The integral can be rewritten as
so that
There are lots of ways to compute this integral. For instance, you can take the Laplace transform with respect to
and taking the inverse transform returns
which describes an exponential distribution with parameter