Question

Q1a,

The average height of a group of student is 68 inches with a standard deviation of 3 inches. The average shoe size is in this same group is 11 with a standard deviation of 2. If the covariance between them is 3.732, what is the variance of Height - ShoeSize?

Q1b,

3 different type of grains are sold by a farmer. Let X1, X2 and X3 be the weight of each grain with means 100, 200, and 300 pounds with standard deviation of 10 pounds each, assume the wights are normally distributed. If the price of the pound is 1.02, 1.79 and 0.71 dollars respectively, what is the probability that the total revenue will be bigger than 700 dollars

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