In: Statistics and Probability
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.