(Solution) - You re thinking about getting two dogs and a cat Assume -(2025 Original AI-Free Solution)

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You're thinking about getting two dogs and a cat. Assume that annual veterinary expenses are independent and have a Normal model with the means and standard deviations described in Exercise 46.
a) Define appropriate variables and express the total annual veterinary costs you may have.
b) Describe the model for this total cost. Be sure to specify its name, expected value, and standard deviation.
c) What's the probability that your total expenses will exceed $400?
Exercise 46
The American Veterinary Association claims that the annual cost of medical care for dogs averages $ 100, with a standard deviation of $30, and for cats averages $ 120, with a standard deviation of $35.