Probability that randomly selected cat cost more than dog

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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. Let X= annual medical cost for a dog and Y= annual medical cost for a cat. Suppose that X and Y are both normally distributed with the means and standard deviations given above. Letting K = Y - X, find P(K>0). In other words, you are finding the probability that a randomly selected cat will cost more than a randomly selected dog in terms of their annual medical costs.

Reference no: EM13133885

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