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An n-dimensional Gaussian vector W has a block diagonal covariance matrix where CX is m × m, CY is (n - m) × (n - m). Show that W can be written in terms of component vectors X and Y in the form such that X and Y are independent Gaussian random vectors
A stockbroker at Critical Securities reported that the mean rate of return on a sample of 10 oil stocks was 12.6 percent with a standard deviation of 3.9 percent. The mean rate of return on a sample of 8 utility stocks was 10.9 percent with a stan..
The distribution is shown here, where the random variable x is the number of days between the placement of the replenishment order and the receipt of the item.
What is the mean of the sample proportion of pieces of unread mail? What is the standard error of the sample proportion?
Suppose an engineer proposes a new model that will weigh 3100 pounds. What could we expect the miles per gallon in the city performance would be?
find the p-value an independent random sample is selected from an approximately normal population with an unknown
The one-sample t statistic has the value t = -1.68. What do we know about the P -value of this test?
An investor owns three common stocks. Each stock, independent of the other, has equally likely chances of: List the possible outcomes of this experiment. Estimate the probability at least two of the stocks increase in value.
for the xy data below computea r and determine if it is significantly different from zero.b the slope of the regression
Discover Card would like to set α = 0.05. Define Population 1 as Dallas and Population 2 as Houston and use the critical value approach to test this hypothesis.
The width of an interval is half of the difference between its upper and lower bounds. The width is a measure of the uncertainty of the number specified by the interval.
at a raffle 10000 tickets are sold at 10 each for three prizes valued at 4800 1200 and 400. what is the expected value
Show that the condition ensuring a limiting distribution holds in this case. What is the limiting distribution? What can you say if there are four chairs rather than five?
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