Question: 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

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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a T Exp2 so T 12 05 seconds b Let m be the median Then PT m 05 PT m 1 e 2m 05 ... View full answer

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