Nico's Nuts buys a blend of peanuts and cashews from 2 vendors, with 65% coming from Brasstown farms and the rest from Rabun farms. The blend from Brasstown is 80% peanuts and 20% cashews, and the blend from Rabun is 56% peanuts and 44% cashews. All nuts are mixed by Nico's before packaging. A random nut is chosen from the mixture.a) Find the probability that the nut came from Brasstown, given that it is a peanut.b) Find the probability that the nut came from Rabun, given that it is a cashew.a) The probability that the nut came from Brasstown, given that it is a peanut, is (Do not round until the final answer. Then round to four decimal places as needed.)b) The probability that the nut came from Rabun, given that it is a cashew, is (Do not round until the final answer. Then round to four decimal places as needed.)