you own a manufacturing company, and are trying to figure out whiat you should charge for a new product (X). Your current customers number 100, and you believe that they will each be interested in the product with a probability of 10%, provided the price is below $30. Treat your customers as independent of each other. Let the number of customers that purchase your new product (in any number) be represented by Y. a. How is Y distributed? (2 pts.) b. What is the probability that precisely 9 customers buy the product? (2 pts.) c. What is the expected number of customers? (2 pts.)