The time t between emissions radioactive emissions has an

The time, T, between emissions radioactive emissions has an eponential distribution with a mean of 4 seconds between emissions.

a) What is the parameter lambda of the exponetial distribution?

b) What is the probability that T is less than 4 sec?

c) What is the probability that T is greater than 4 sec?

d) What is the expected value of T?

e) What is the variance of T?

g) What is the variance of 3T?

h) What is the expected value of 3t +7?

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