The lifetime of an electronical component is to be determined; it is assumed that it is an ex- ponentially distributed random variable. Randomly, users are asked for feedback for when the component had to be replaced; below you can find a sample of 5 such answers (in months): 19,23,21,22,24. Fill in the blanks below. (a) Using the method of maximum likelyhood, the parameter of this distribution is estimated to = WRITE YOUR ANSWER WITH TH DECIMAL PLACES in the form N.xxx. DO NOT ROUND. (b) Let L be the estimator for the parameter of this distribution obtained by the method of moments (above), and let H be the estimator for the parameter of this distr obtained by the method of maximum likelyhood. What comparison relation do we have between L and M in this situation? Use one of the symbols <, = or > to fill in L M

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The lifetime of an electronical component is to be determined; it is assumed that it is an ex-
ponentially distributed random variable. Randomly, users are asked for feedback for when the
component had to be replaced; below you can find a sample of 5 such answers (in months):
19,23,21,22,24. Fill in the blanks below.
(a) Using the method of maximum likelyhood, the parameter of this distribution is estimated to 2 =
WRITE YOUR ANSWER WITH THREE
DECIMAL PLACES in the form N.xxx. DO NOT ROUND.
(b) Let L be the estimator for the parameter of this distribution obtained by the method of moments (above), and let H be the estimator for the parameter of this distribution
obtained by the method of maximum likelyhood. What comparison relation do we have between L and M in this situation? Use one of the symbols <, = or > to fill in the blank.
L
M
Transcribed Image Text:The lifetime of an electronical component is to be determined; it is assumed that it is an ex- ponentially distributed random variable. Randomly, users are asked for feedback for when the component had to be replaced; below you can find a sample of 5 such answers (in months): 19,23,21,22,24. Fill in the blanks below. (a) Using the method of maximum likelyhood, the parameter of this distribution is estimated to 2 = WRITE YOUR ANSWER WITH THREE DECIMAL PLACES in the form N.xxx. DO NOT ROUND. (b) Let L be the estimator for the parameter of this distribution obtained by the method of moments (above), and let H be the estimator for the parameter of this distribution obtained by the method of maximum likelyhood. What comparison relation do we have between L and M in this situation? Use one of the symbols <, = or > to fill in the blank. L M
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