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A company has 300 employees. Each year, there is a 30% turnover rate for the employees. The total number of employees who leave each year follows a binomial distribution. Now, we want to use the normal approximation to this binomial distribution. Then in this normal distribution, the mean is ______ and the standard deviation is _____.

A poll of 120 adults who shopped at Walmart found that 54 have purchased a flat screen television Based on these data, what is the margin of error for a 95% confidence interval of the proportion of adults who have purchased a flat screen television.

Suppose X and Y are continuous random variables with joint pdf f(x, y) = 24xy if 0 < x, 0 < y, and x + y < 1, and zero otherwise. (a) Find E(XY). (b) Find the covariance of X and Y. (c) Find the correlation coefficient of X and Y. (d) Find Cov(3X, 5Y). (e) Find Cov(X + 1, Y – 2). (f) Find Cov(X + 1, 5Y – 2). (g) Find Cov(3X + 5, X).

For a Gaussian discriminant classifier, where you model P(y = 1) (using a binomial) and P(x|y = 0) and P(x|y = 1). The latter have distinct means µ0 and µ1, and a shared covariance matrix Σ . If we classify an example for which we know inputs x1, . . . xn−1, but the value of xn is missing.  The value of xn is filled by its class-conditional means, E(xn|y = 0) and E(xn|y = 1). Using the log-odds ratio, can someone provide a mathematical justification

The grade point average of the students at UTC is 2.80 with a standard deviation of 0.84. The grade point average of students at UTK is 2.4 with a standard deviation of 0.84. Which university shows a more dispersed grade distribution?