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The British government has stepped up its information
Chapter 2, Problem 210SE(choose chapter or problem)
Problem 210SE
The British government has stepped up its information campaign regarding foot-and-mouth disease by mailing brochures to farmers around the country. It is estimated that 99% of Scottish farmers who receive the brochure possess enough information to deal with an outbreak of the disease, but only 90% of those without the brochure can deal with an outbreak. After the first three months of mailing, 95% of the farmers in Scotland had received the informative brochure. Compute the probability that a randomly selected farmer will have enough information to deal effectively with an outbreak of the disease.
Questions & Answers
QUESTION:
Problem 210SE
The British government has stepped up its information campaign regarding foot-and-mouth disease by mailing brochures to farmers around the country. It is estimated that 99% of Scottish farmers who receive the brochure possess enough information to deal with an outbreak of the disease, but only 90% of those without the brochure can deal with an outbreak. After the first three months of mailing, 95% of the farmers in Scotland had received the informative brochure. Compute the probability that a randomly selected farmer will have enough information to deal effectively with an outbreak of the disease.
ANSWER:Solution:
Step 1 of 3:
From the given problem,
Let us define the event A is the brochure with an outbreak of the disease.
The event B is without brochure with an outbreak of the disease.
The event C is farmer received the information brochure.
Given P(A) = 0.99
P(B) = 0.9
P(C) = 0.95