Please send detailed solutions in 2 hours.
1. You have grown soybeans for 40 years, and have experienced 5 crop failures in that time period. What is the probability of a crop failure in any given year?
2. Based on the annual probability of crop failure you found in question 1, what is the expected number of crop failures in the next 40 years?
3. You have two chicken houses: red and green. Forty thousand chickens are in the red house and 60 thousand are in the green house. Five percent of the chickens in the red house have hookworm, while only 2% of the chickens in the green house are infected.
(a) What is the probability that a randomly selected chicken is from the green house?
(b) What is the probability that a randomly selected chicken has hookworm?
(c) Given a randomly selected chicken has hookworm, what is the probability it is from the red house?