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Of nine executives in a business firm, four are married, three have never married, and two are divorced. Three of the executives are to be selected for promotion. Let Y1 denote the number of married executives and Y2 denote the number of never-married executives among the three selected for promotion. Assuming that the three are randomly selected from the nine available, find the joint probability function of Y1 and Y2.
where the deviations εi are assumed to be independent and Normally distributed with mean 0 and standard deviation σ. This model was fit to the data using the method of least squares. The following results were obtained from statistical software.
of the first 10000 votes cast in an election 5180 were for candidate a. find a 95 confidence interval for the fraction
Let X1 , X2 , • • • , Xn and Yi, Y2 , • • • , Ym be independent random samples from the two normal distributions N( O, 81 ) and N(O, 82).
Determine the mean, median and mode of those data. Make sure you show your hand computeed work. Is there any indication from this group of data that the new policy holder may lean toward younger ages?
At 5% level of significance, does this sample prove violation of guideline that average patient must pay no more than $250 out of pocket?
the information below represents five baskets of apples containing the quantities shown below.basketsnumber of
This company buys in equal volume from both suppliers, with half of the orders going to each supplier. What is the probability that a component to be installed is defective?
the average score of a sample of 87 senior business majors at utc who took the graduate management admission test was
some parts of california are particularly earthquake-prone. suppose that in one such area 31 of all homes are built to
Let (X, l·l) be a real normed space, E a linear subspace, and h ∈ E t. Give a proof that h can be extended to be a member of X t (the Hahn-Banach the- orem, 6.1.4) based on Theorem 6.2.11. Hint: Let U := {x ∈ X : lx l 1}. (Because of such relation..
At α = .05, is there a difference in variances? Illustrate all steps clearly, including illustration of the decision rule.
Averaging 204 pins with a standard deviation of 24.9, can one conclude at a level of significance of .01 that the new ball has improved his game?
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