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Two random variables are jointly Gaussian with means of μX=2, μY=-3 variances of σ2X=1, σ2Y=4, and a covariance of Cov(X,Y)= -1.
(a) Write the form of the joint PDF of these jointly Gaussian random variables.
(b) Find the marginal PDFs fX(x) and fY(y).
(c) Find Pr(X<0) and Pr(Y>0) and write both in terms of Q-functions.
salaries of 40 college graduates who took a statistics course in college have a mean of 62 200. assuming a standard
She then uses the mean and standard deviation of these values to estimate the mean value for all parts the operator is making. Construct a 95% confidence interval for the mean value assuming a normal distribution.
1. What is the difference between a Type I and Type II error? 2. What is the Excel formula for calculating the t-score p-value?
NY is and the standard deviation is , then according to Chebyshev's theorem, the percentage of averages low temperatures in Rochester, NY between and is _____%>?
Consider randomly selecting three bulbs without replacement. Let E denote the event that the first bulb selected is good, F be the event that the second bulb is good, and G represent the event that the third bulb selected is good.
What is the mean number of children per family? Round your answer to one decimal place as necessary. For example, 4.5 would be a legitimate entry.
Using ANOVA, determine if there is a significant difference in the six year graduation rate by type.
suppose iq scores were obtained from randomly selected couples. for 20 such pairs of people the linear correlation
when one variable precedes the other in time and the correlation between them is high which statement can be made with
a) What is the lower limit of the confidence interval? b) What is the upper limit of the confidence interval?
Three types of fertilizers are to be tested to see which to see which one yields more corn crop. Forty similar plots of land were available for testing purposes.
1 in a two-tailed hypothesis test the test statistic is determined to be z -2.5. the p-value for this test why?a is
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