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MLF week 11 - real exam questions

2 questions pulled from past papers whose wording matches this week's topics, newest first, duplicates removed. Pick your answers, then press Check answers. Figures and answer keys are the originals.

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MLF End Term · 21 Dec 2025 · open the full paper
Practice 1SA3 marks
The time (in minutes) a bank employee spends assisting a customer follows an exponential distribution with parameter . The time spent (in minutes) from a random sample of 5 customers are as follows: Find the maximum likelihood estimate of for the given sample. Enter the answer correct to two decimal places.
MLF End Term · 03 Sep 2023 · open the full paper
Practice 2SA3 marks
The average life (in years) of an electric bulb follows exponential distribution with parameter λ = 0.4. Using Weak Law of large numbers, find a lower bound on the probability that the mean life of a random sample of 50 such bulbs falls between 1.5 and 3.5 years. Enter your answer correct to three decimal places.