Each day a veterinary clinic schedules 10 horses to be examined for a respiratory disease. The cost of each test is $80. The probability that a horse has the disease is 0.1. If the horse has the disease, the treatment costs $500. a)    What is the probability that at least three horses will be diagnosed with the disease on any given day? b)    What is the probability that at most four horses will be diagnosed with the disease on any given day? c)    What is the expected profit per day that the clinic makes from examining horses and treating them for this disease?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Each day a veterinary clinic schedules 10 horses to be examined for a respiratory disease. The cost of each test is $80. The probability that a horse has the disease is 0.1. If the horse has the disease, the treatment costs $500.

a)    What is the probability that at least three horses will be diagnosed with the disease on any given day?
b)    What is the probability that at most four horses will be diagnosed with the disease on any given day?
c)    What is the expected profit per day that the clinic makes from examining horses and treating them for this disease?

 

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