A farmer only grows apple and orange trees in his orchard. 40% of his trees are apple trees. He is concerned that a parasite may be infecting his trees. The probability of the parasite infecting a given apple tree is 5% and the probability of the parasite infecting a given orange tree is 3%. Please give your answers to 3 decimal places, for example 0.305. a) What proportion of his trees are infected by the parasite? Your answer is 1 b) Ifa given tree is not infected, what is the probability that this tree was an apple tree? Your answer is

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A farmer only grows apple and orange trees in his orchard. 40% of his trees are apple trees. He is concerned that a parasite may be infecting his trees. The probability of the parasite infecting
a given apple tree is 5% and the probability of the parasite infecting a given orange tree is 3%. Please give your answers to 3 decimal places, for example 0.305.
a) What proportion of his trees are infected by the parasite? Your answer is
1
b) If a given tree is not infected, what is the probability that this tree was an apple tree? Your answer is
Transcribed Image Text:A farmer only grows apple and orange trees in his orchard. 40% of his trees are apple trees. He is concerned that a parasite may be infecting his trees. The probability of the parasite infecting a given apple tree is 5% and the probability of the parasite infecting a given orange tree is 3%. Please give your answers to 3 decimal places, for example 0.305. a) What proportion of his trees are infected by the parasite? Your answer is 1 b) If a given tree is not infected, what is the probability that this tree was an apple tree? Your answer is
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