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A drug is assumed to be e?ective with an unknown probability p. To estimate p the drug is given to n patients. It is found to be e?ective for m patients. The method of maximum likelihood for estimating p states that we should choose the value for p that gives the highest probability of getting what we got on the experiment. Assuming that the experiment can be considered as a Bernoulli trials process with probability p for success, show that the maximum likelihood estimate for p is the proportion m/n of success.
When modelling E(y) with single qualitative independent variable, number of 0 - 1 dummy variables in model is equal to number of levels of qualitative variable.
The probability that a student passes a written test for a private pilot's license is 0.75. What is the probability that a student will fail the test on the first attempt and pass it on the second attempt?
The prior year, the population mean expenditure per household was $632. Discuss the change in holiday season expenditures over the one-year period.
Here are fifty observations on the weight of tea bags. Create mean, mode and median.
A random sample of the lifetime of 49 UltraIllum light bulbs has a mean of 3,960 hours and a standard deviation of 200 hours. Construct a 95% confidence interval estimate of the mean lifetime for all UltraIllum light bulbs.
Due to large losses incurred in the past several years, a firm has $2 billion in tax-loss carryforwards. This means that the next $2 billion of the firm's income will be free from corporate income taxes.
use exponential smoothing with 2 between 0.1 and 0.4 to get forecasts one period ahead for the following time series.
Form the cumulative percentage distribution and plan a cumulative percentage polygon.
Parole board is examing five prisoners up for parole. let x= number of prisoners out of 5 on parole who become offenders. Find the probability distribution for x.
Assume that the population is normally distributed. Can we conclude, at the level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from months?
For a random sample of 35 items, a known population standard deviation of 23, and a sample mean of 211 estimate the: the population mean with a confidence level of 95%.
Suppose you obtain a 100 bag random sample by taking 25 subgroups of 4 bags each, the mean weight of the 25 subgroups was 16.00 ounces with a total of the subgroup ranges of 87.5 oz.
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