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A division has 12 employees, 8 males and 4 females
a. In how many ways can a committee of 6 members be selected from out of these 12?
b. Find the probability that a random committee contains all males?
c. Suppose that the committee should have one president which has to be a female and two ordinary members who must be males. How many different committees are possible?
Use the hypergeometric formula to find this probability. The lottery commission also pays if a contestant matches 4 or 5 of the 6 winning numbers. Hint: Divide the 44 numbers into two groups, winning numbers and nonwinning numbers.
Is there a difference in the extent of wound healing by treatment? (Hint: Are treatment and the percent wound healing independent?) Run the appropriate test at a 5% level of significance.
A study of 20 families in a certain large city showed that the average income was $33,210 in 2000 with a standard deviation of $1800. Test the hypothesis that the true average income in this city was actually $31,000 against the hypothesis that it..
Suppose there is no cyclical component. Quarterly billing for water usage is shown below describe summer billing for year 5.
According to the Chebyshev rule, at least what percentage of the observation in any data set are contained within a distance of 3 standard deviations around the mean.
Forecast 2 out of sample forecasts for the final model using following data: Final Estimates of Parameters AR 1 0.9647 0.0388 24.84 0.000.
A researcher wishes to construct a 95% confidence interval for a population mean. She selects a simple random sample of size n=20 from the population.
A sample of 140 golfers showed that their average score on a particular golf course was 93.38 with a standard deviation of 4.36. Answer each of the following (show all work and state the final answer to at least two decimal places.):
The carpeting department supervisor claims that the average number of days between the receipt of a complaint and its resolution is 20 days or less.
Biggio's Department Store has six employees available to assign to four departments in the store: home furnishings, china, appliances, and jewelry.
Find the probability between the given values for normal distribution.
Heart disease patients often experience spasms of the coronary arteries. Because biological amines such as serotonin may play a role in these spasms, a research team measured serotonin levels post-mortem from patients who died of heart disease and..
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