In the past, 80% of UWO economics graduates found jobs within two months of graduating. There will be 20 graduates this year. Given information:Probability that a student will find a job within two months of graduating = 80% = 0.8Probability that a student will not find a job within two months of graduating = 100% - 80% = 20% = 0.2Total number of students graduating = 20(a) Probability that only 10 will find a job within two months:This problem can be solved using the binomial probability formula.P(x = k) = nCk × pk × (1 - p)n - kWhere P(x = k) = Probability of k successes in n trialsn = Total number of trialsp = Probability of success in one trialk = Number of successesThe probability that only 10 will find a job within two months is:P(x = 10) = 20C10 × (0.8)10 × (0.2)20 - 10= 0.2516Therefore, the probability that only 10 will find a job within two months is 0.2516.(b) Probability that 14 will find a job within two months:Using the binomial probability formula,P(x = 14) = 20C14 × (0.8)14 × (0.2)20 - 14= 0.1173Therefore, the probability that 14 will find a job within two months is 0.1173.(c) Probability that they will all find jobs:Using the binomial probability formula,P(x = 20) = 20C20 × (0.8)20 × (0.2)20 - 20= 0.0115Therefore, the probability that they will all find jobs is 0.0115.(d) On average, how many should find a job within two months?The expected value or the mean of a binomial distribution is given by:μ = npWhere μ is the expected value, n is the total number of trials and p is the probability of success in one trial.On average, 20 × 0.8 = 16 economics graduates should find a job within two months.