The lifetime of a particular resistor follows an exponential distribution with parameter λ. The manufacturer claims the mean life of the resistor is 6 years. A distributor of the resistor is suing the manufacturer for excess warranty claims, saying that the mean life of the resistor is a mere 4 years. To resolve the issue, an accelerated test of the predicted lifetimes of 20 resistors is undertaken, yielding the following values:
(a) The judge calls you as an expert witness to determine the validity of the suit. What do you tell the judge?
(b) What value of λ maximizes the probability for values reported from the experiment.
(c) Graph the log-likelihood function versus λ values ranging from 0 to 0.5.
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