ks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7j8P3jH-IBjXwdcBrSoeeM9spwQ1BWSgePhiyVz2aFLo6VptYikm2d5A0r8-zR-QUHKVMMZ0OD> O RANDOM VARIABLES AND DISTRIBUTIONS Rules for expectation and variance of random variables Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following. E(X)= 5 Var(X) = 44 Var(Y)= 23 Var(Z)= 32 E(Y)=-2 Compute the values of the expressions below. E(-5+5Y)= I 3Y+5X -3 Var(5X-5) = | E(-2Y²) = ] Explanation Check © 2022 McGraw Hill LLC. All Rights Reservec ALEKS - Britney Fri.

An urn contains 7 black and 18 white balls. A ball is randomly drawn from the urn. Let X = 1 if a white ball is drawn and let X = -1 if a black ball is drawn. Find the following a) mean of X b) variance of X Please provide your working and round your answers to 2 decimal places

Number 16

If the variance in the weights of one sample of 12 oz. cookies is 3 oz. and the variance in a second sample, made in another factory, is only 1 oz. is there a real difference in variances between the two? (Estimate at 95% probability level, using 2-tail test). Use the appropriate test statistic to determine this, and assume there are 9 degrees of freedom for each sample. Yes no maybe none of the above.