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Question: A committee of size k is chosen from a group of n women and m men. All possible committees of size k are equally likely. Let X and Y be the numbers of women and men on the committee, respectively.
(a) Find the joint PMF of X and Y. Be sure to specify the support.
(b) Find the marginal PMF of X in two different ways: by doing a computation using the joint PMF, and using a story.
(c) Find the conditional PMF of Y given that X = x.
Describe how you would simulate the number of seatbelt-wearing drivers among the five cars.- Run at least 30 trials.
What conclusion can you draw from the ANOVA results?- Explain why it is inappropriate to apply Tukey's multiple comparisons procedure to compare the treatment means.
A random sample of 17 wolf litters in Ontario, Canada gave an average of x1= 4.9 wolf pups per litter, with estimated sample standard deviation s1 - 1.0.
chebyshevs inequality for regular worker the preparation time for daily work needs 35 minutesday and with standard
one way to establish validity of a questionnaire is by measuringa the correlation between the score on the
A telescpoe manufacturur wants its telescopes to have standard deviations in resolution to be significantly below 2 when focusing on objects 500 light-years away.
Use a 0.05 significance level to test the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100 mm cigarettes.
Does the regression equation account for a significant portion of the variance in GPA? Use ∝ = .05 to evaluate the F - ratio.
Each salesperson at stiles compton is rated either below average, average, or above average with respect to sales ability. Each salesperson is also rated with respect to his or her potential for advancement.
What are the expected value and standard deviation of the number of computers in the sample that have the defect?
Does the 99% confidence interval contain the actual population mean? If not, explain why not. What proportion of many similarly constructed confidence intervals should include the true population mean value?
At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations.
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