fD(d) = αe^−αdu(d)
where α is unknown. Please note that E(D) = 1/α and E(D2)= 2/α2. To estimate 1/α (the mean duration), their engineers compute MN, the average duration of N calls. All call durations are independent and identically distributed.
(a) If α = 0.1/min, find the mean and variance of M100.
(b) If α = 0.1/min, find the probability that M100 is within 1 minute of the true mean.
where α is unknown. Please note that E(D) = 1/α and E(D2)= 2/α2. To estimate 1/α (the mean duration), their engineers compute MN, the average duration of N calls. All call durations are independent and identically distributed.
(a) If α = 0.1/min, find the mean and variance of M100.
(b) If α = 0.1/min, find the probability that M100 is within 1 minute of the true mean.