Please do not give solution in image format thanku Suppose a hiker is lost in a National Park, and the search team applies Bayesian probability techniques to aid their search. The park is divided into two distinct regions, A and B. Based on the hiker’s known itinerary, it is estimated that they are twice as likely to be in region A as region B. Due to the differing difficulty of the terrain in each region, a helicopter search of region A is estimated to have a 60% chance of success, and of region B an 80% chance of success. In answering the following questions you must clearly define all terms and notation, and show details of your calculations. (a) What is the probability that they are in region B? (b) What is the probability that the hiker is found after a search of region A only? (c) If region A is searched and the hiker is not found, what is the probability that they are in region B? (d) What is the probability that they are not found after a search of both regions? (you can assume it is a simultaneous search of both).  (e) Suppose the entire park is searched and they are not found, what is the probability that they are in region B?

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Suppose a hiker is lost in a National Park, and the search team applies Bayesian probability techniques to aid their search. The park is divided into two distinct regions, A and B. Based on the hiker’s known itinerary, it is estimated that they are twice as likely to be in region A as region B. Due to the differing difficulty of the terrain in each region, a helicopter search of region A is estimated to have a 60% chance of success, and of region B an 80% chance of success. In answering the following questions you must clearly define all terms and notation, and show details of your calculations.

(a) What is the probability that they are in region B?

(b) What is the probability that the hiker is found after a search of region A only?

(c) If region A is searched and the hiker is not found, what is the probability that they are in region B?

(d) What is the probability that they are not found after a search of both regions? (you can assume it is a simultaneous search of both). 

(e) Suppose the entire park is searched and they are not found, what is the probability that they are in region B?

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