7.37 Let x₁,...,xn be the observed values of a random sample of size n from the exponential distribution f(x; B) = B-¹e-x/B for x > 0. (a) Find the maximum likelihood estimator of B. (b) Obtain the maximum likelihood estimator of the probability that the next observation is greater than 1.

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7.37 Let x₁,...,xn be the observed values of a random
sample of size n from the exponential distribution
f(x; B) = B-¹e-x/B for x > 0.
(a) Find the maximum likelihood estimator of ß.
(b) Obtain the maximum likelihood estimator of the
probability that the next observation is greater
than 1.
Transcribed Image Text:7.37 Let x₁,...,xn be the observed values of a random sample of size n from the exponential distribution f(x; B) = B-¹e-x/B for x > 0. (a) Find the maximum likelihood estimator of ß. (b) Obtain the maximum likelihood estimator of the probability that the next observation is greater than 1.
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Following (a), what is the solution to (b)? Thanks a ton!

(b) Obtain the maximum likelihood estimator of the
probability that the next observation is greater
than 1.
Transcribed Image Text:(b) Obtain the maximum likelihood estimator of the probability that the next observation is greater than 1.
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