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1. Show that Cov(XY) = E[XY] - E[X]E[Y]. Remember that gx = E[X] and gy = E[Y].
2. Prove that Var( X + Y) = Var X + Var Y + 2 Cov( X, Y).
3. Use the result of Exercise 25 to show that if A and Y are independent then Var( X + Y) = Var X + Var Y. This proves the third rule for variance.
Exercise 25
Prove that Var( X + Y) = Var X + Var Y + 2 Cov( X, Y).
Based upon all of this information, do a "goodness-of-fit" test to see if the distributions are the same as they were two years ago. Use a level of confidence of .01. Should we accept Ho or reject Ho?
every normal model is defined by its parameters the mean and the standard deviation.suppose that the mean ? 20 and that
The mean, median, and mode are the most common measures of dispersion (spread).
What are the categories for each of the two variables?- If the explanatory variable is used to define the rows of the contingency table, which variable would be the row variable?
Discuss any limitations (inaccurate data; incomplete information; not enough samples for testing)can have an regression analysis.
Department members are expected to vote independently and with no prior consultation. What are the candidate's chances of getting the position?
A binomial experiment has 10 trials with a probability of success of 0.62 in each trial. What is the standard deviation of the binomial random variable?
the average annual miles driven per vehicle in the united states is 11.1 thousand miles with ? ? 600 miles. suppose
What should the average weight be if the production manager wants no more than 6% of the products to weigh more than 7.4 ounces?
question in this problem we will perform regression analysis on the sepal and petal measurements of the first 50
Is this an observational or an experimental study?- Describe the sample in this problem.- Is this a random sample? Justify your answer.
A 6 × 8 array containing the ages of moviegoers
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