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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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 the full answer
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