A certain type of electronic component has a lifetime X (in hours) with probability density function given by f (2) = e for x > 0. Find the maximum likelihood estimate of 0 given a random sample X1, X2, Xn. ... E = Suppose our random sample consisted of 120, 130, and 128 hours. What would be an appropriate estimate use for 0?

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10. A certain type of electronic component has a lifetime X (in hours) with probability density function given by
f (x) =D ze ㅎ
for æ > 0.
%3D
a) Find the maximum likelihood estimate of 0 given a random sample X1, X2, . .. , Xn.
MLE =
%3D
b) Suppose our random sample consisted of 120, 130, and 128 hours. What would be an appropriate estimate
to use for 0?
Estimate =
c) If I pointed out that this distribution was just a gamma distribution with a = 2 and A = , is your estimate
from part a) an unbiased estimate? Justify your answer.
yes or no:
Transcribed Image Text:10. A certain type of electronic component has a lifetime X (in hours) with probability density function given by f (x) =D ze ㅎ for æ > 0. %3D a) Find the maximum likelihood estimate of 0 given a random sample X1, X2, . .. , Xn. MLE = %3D b) Suppose our random sample consisted of 120, 130, and 128 hours. What would be an appropriate estimate to use for 0? Estimate = c) If I pointed out that this distribution was just a gamma distribution with a = 2 and A = , is your estimate from part a) an unbiased estimate? Justify your answer. yes or no:
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