A radioactive mass emits particles according to a Poisson process at a mean rate of 2 per

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A radioactive mass emits particles according to a  Poisson process at a mean rate of 2 per second.  Let T be the waiting time, in seconds, between  emissions.

a. What is the mean waiting time?

b. What is the median waiting time?

c. Find P(T > 2).

d. Find P(T < 0.1).

e. Find P(0.3 < T < 1.5).

f. If 3 seconds have elapsed with no emission, what is the probability that there will be an emission  within the next second?

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