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1. Let W be an exponential random variable with parameter B unknown. Find the maximum likelihood estimator for B based on a sample of size n. Does it differ from the method of moments estimator?
2. A computer center employs consultants to answer users questions. The center is open from 9 a.m. to 5 p.m. each weekday. Assume that calls arriving at the center constitute a Poisson process with unknown parameter A calls per hour. To estimate A, these observations were obtained on A, the number of calls arriving per hour:
8 6 12 15 12
4 9 7 20 10
(a) Find the maximum likelihood estimate for X.
(b) Estimate the average time of arrival of the first call of the day.
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
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Caselet on McDonald’s vs. Burger King - Waiting time
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
Problems on Sampling Variability and Standard Error and Confidence Intervals
Estimate the population mean
Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
Find out the probability
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