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, Shahzar, Ophelia, and Xinran are each watching the net profits of three different stocks. Let the random variables X1, X2, and X3 represent the
, Shahzar, Ophelia, and Xinran are each watching the net profits of three different stocks. Let the random variables X1, X2, and X3 represent the net profits of Shahzar's, Ophelia's, and Xinran's stocks, respectively. The net profits (in dollars) of their three stocks [X1 X2 X3] are multivariate normal with mean vector u and covariance matrix & given by 3 4 3 1 u -- 3 II 3 4 2 5 1 2 16 For the following parts, leave all your answers in terms of Q. a) Find the chance that Xinran gets a greater net profit than Shahzar's and Ophelia's combined net profit. b) Find the chance that Ophelia's and Shahzar's net profits are within $1 of each other and their combined net profit is at least $5. , Shahzar, Ophelia, and Xinran are each watching the net profits of three different stocks. Let the random variables X1, X2, and X3 represent the net profits of Shahzar's, Ophelia's, and Xinran's stocks, respectively. The net profits (in dollars) of their three stocks [X1 X2 X3] are multivariate normal with mean vector u and covariance matrix & given by 3 4 3 1 u -- 3 II 3 4 2 5 1 2 16 For the following parts, leave all your answers in terms of Q. a) Find the chance that Xinran gets a greater net profit than Shahzar's and Ophelia's combined net profit. b) Find the chance that Ophelia's and Shahzar's net profits are within $1 of each other and their combined net profit is at least $5
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