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In: Statistics and Probability

Suppose Person 1's expenses per month are normally distributed with mean $1000 and s.d. $100. Suppose...

Suppose Person 1's expenses per month are normally distributed with mean $1000 and s.d. $100. Suppose Person 2's expenses per month are normally distributed with mean $600 and s.d. $50. Assume Person 1's and Person 2's expenses are independent. 1. Find the probability that Person 1 and Person 2's total expense in one month exceeds $2000. 2. Find the probability that Person 1 spends twice as much as Person 2 in expenses in some random month.

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