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1-3 please! CONTINUOUS RANDOM VARIABLES Profit of a small business You have a small business that makes and sells cowboy hats. The number of hats

1-3 please!

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CONTINUOUS RANDOM VARIABLES Profit of a small business You have a small business that makes and sells cowboy hats. The number of hats you make and sell per week is a random variable X. The mean of X is 40 hats and the standard deviation of X is 3 hats. Each hat sells for 50 dollars. Your weekly costs of production are a random variable Y. The mean of Y is 600 dollars and the standard deviation of Y is 100 dollars. The covariance between X and Y is negative. Cov(X,Y) is minus 25 hats times dollars. There are 3 questions in this set. 1. Profit is revenue from selling hats minus production costs. Let W represent weekly profit, in dollars. Calculate expected weekly profit. One decimal 2. Calculate the variance of weekly profit. One decimal 3. Assume that both X and Y are approximately normally distributed. What is the probability that weekly profit will be more than $1,150? Four decimals

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