Customers are used to evaluate preliminary product designs. In the past, 90% of highly successful products received good reviews, 50% of moderately successful products received good reviews and 10% of poor products received good reviews. In addition, 45% of products have been highly successful, 35% of have been moderately successful and 20% have been poor products. Part a (4 points): What is the probability that a product attains a good review? Part b (4 points): If a new design attains a good review, what is the probability that it will be a highly successful product? Part c (3 points): What is the probability that a product is both highly successful AND one that received good reviews? Part d (4 points): If a new design attains a good review, what is the probability that it is not a highly successful product?