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X(t) and Y(t) are independent wide sense stationary processes with expected values µX and µY and autocorrelation functions RX (τ ) and RY (τ )respectively. Let W(t) = X(t)Y(t).
(a) Find µW and RW (t,τ) and show that W(t) is wide sense stationary.
(b) Are W(t) and X(t) jointly wide sense stationary?
What kind of correlation do you expect to find between annual income and amount spent on car? Will it be positive or negative?
show that in mlreg multiple linear regression the residual vector e is orthogonal to both the design matrix x and the
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Assuming that the data may be looked upon as a random sample from a normal population, construct a 95% con?dence interval for the actual average air pollution index for this city and interpret.
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The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows Poisson distribution with a mean of 9 tickets per day.
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the number of chocolate chips in an 18-ounce bag of chocolate chip cookies is normally distributed with a mean of 1238
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A food snack manufacaturer samples 11 bags of pretzels off the assembly line and weighs their contents. If the sample mean is 15.2 oz. and the sample standard deviation is 0.40 oz., find the 95% confidence interval of the true mean.
On a test with a population mean of 75 and standard deviation equal to 16, if the scores are normally distributed, what percentage of scores fall below a score of 83.8?
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