Question

In the western United States, there are many dry land wheat farms that depend on winter snow and spring rain to produce good crops. About 70% of the years there is enough moisture to produce a good wheat crop, depending on the region. (a) Let r be a random variable that represents the number of good wheat crops in n = 8 years. Suppose the Zimmer farm has reason to believe that at least 4 out of 8 years will be good. However, they need at least 6 good years out of 8 years to survive financially. Compute the probability that the Zimmers will get at least 6 good years out of 8, given what they believe is true; that is, compute P(6 ≤ r | 4 ≤ r). (Round your answer to three decimal places.) (b) Let r be a random variable that represents the number of good wheat crops in n = 10 years. Suppose the Montoya farm has reason to believe that at least 6 out of 10 years will be good. However, they need at least 8 good years out of 10 years to survive financially. Compute the probability that the Montoyas will get at least 8 good years out of 10, given what they believe is true; that is, compute P(8 ≤ r | 6 ≤ r). (Round your answer to three decimal places.)

Answer 1

Soludton: Given PEOT0 a) n-8 (6ucY)P(6eY nusv rCuex) P(uev &-Y o.88456 O 52304 YEG n-lo 0.02731L 6.26163