It is believed that a button can be pressed an average of 10000 times until it fails, where its lifetime varies according to a Geome distribution with probability p of failing in any press. From a sample of 32 buttons, it was found that the average lifetime was approximately 6000 presses. Using the maximum likelihood estimate, p, and the hypothesised value, po, compute the value of 2 E(p) – e(po)l- 7.09 (Provide your answer to two decimal places.)

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It is believed that a button can be pressed an average of 10000 times until it fails, where its lifetime varies according to a Geametria
distribution with probability p of failing in any press. From a sample of 32 buttons, it was found that the average lifetime was
approximately 6000 presses.
Using the maximum likelihood estimate, p, and the hypothesised value, Po, compute the value of 2 E(p) - l(po)-
7.09
(Provide your answer to two decimal places.)
Transcribed Image Text:It is believed that a button can be pressed an average of 10000 times until it fails, where its lifetime varies according to a Geametria distribution with probability p of failing in any press. From a sample of 32 buttons, it was found that the average lifetime was approximately 6000 presses. Using the maximum likelihood estimate, p, and the hypothesised value, Po, compute the value of 2 E(p) - l(po)- 7.09 (Provide your answer to two decimal places.)
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