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1. Suppose that X and Y are independent binomial random variables with parameters (n, p) and (m, p). Argue probabilistically (no computations necessary) that X + Y is binomial with parameters (n + m, p).
2. Let X1, X2, X3, and X4 be independent continuous random variables with a common distribution function F and let p = P{X1 <>X2 > X3 X4}
(a) Argue that the value of p is the same for all continuous distribution functions F.
(b) Find p by integrating the joint density function over the appropriate region.
(c) Find p by using the fact that all 4! possible orderings of X1, ... , X4 are equally likely.
Is there an effect due to development time? Plot the mean density for each developer strength for each development time.
in a survey of 500 residents 300 were opossed to the use of the photo-cop for issuing traffic tickets. find a 95
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determine if the improvement is of practical significance one should. Crop researchers plant 100 plots with a new variety of corn. The average yield for these plots is x' = 130 bushels per acre
From the calculator manufacturer?s point of view, which type of error would be considered more serious and explain why? From the printed circuit supplier?s point of view, which type of error would be considered more serious and explain why?
According to the retail electronics chain, adults in 40 to 50 year old age group, the mean amount spent per year on electronics is $1998.
Compare the computed linear correlation coefficient r to the critical value of r at the 5% significance level to determine whether there is a linear correlation between the two characteristics. Does the slope of the regression line appear to indic..
A person is considering purchasing the stock of two home health companies that are similar in all respects except the proportion of earnings paid out as dividends.
Use the following information from a normal population with mean μ = 52 and variance σ2 = 22.5 to calculate the following questions.
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a box contains 3 red balls 4 white balls and 3 green balls 2 balls a taken without replacement. what is the
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