Question: Sarah needs a new administrative assistant, so she's interviewing prospective employees. • 70% of the potential employees would be a good fit for the position. o 90% of these potential employees interview well. o 10% of these potential employees interview poorly. They're too nervous. • 30% of the potential employees would be a bad fit for the position. o 60% of these potential employees interview well. o 40% of these potential employees interview poorly. They have obvious flaws. a) Construct a tree graph that models this story. Please include all probabilities. b) Find P(A potential employee would be a good fit and they interview well) c) Find P(A potential employee interviews well) d) Find P(A potential employee would be a good fit given that they interview well)