\fThe manager of Woodstock's Pizza in Isla Vista classifies customers as regular, occasional, or new, and finds that of all customers 45%, 35%, and 20%, respectively, fall into these categories. The manager found that appetizers were ordered by 10% of the regular customers, by 40% of the occasional customers, and 25% of the new customers. Given that appetizers are ordered, what is the probability that the person ordering is an occasional customer? Select one: O a. 0.05 O b. 0.235 O c. None of the above O d. 0.40 O e. 0.5957The manager of Woodstock's Pizza in Isla Vista classifies customers as regular, occasional, or new, and finds that of all customers 45%, 35%, and 20%, respectively, fall into these categories. The manager found that appetizers were ordered by 10% of the regular customers, by 46% of the occasional customers, and 25% of the new customers. Is the event of ordering appetizers independent of customer type? Select one: O a. None of the above O b. Too little information to tell. O c. No, their joint probabilities are NOT equal to the products of the respective individual probabilities. O d. No, their joint probabilities are equal to zero. e. Yes, their joint probabilities are equal to the products of the respective individual probabilities.The manager of Woodstock's Pizza in Isla Vista classifies customers as regular, occasional, or new, and finds that of all customers 45%, 35%, and 20%, respectively, fall into these categories. The manager found that appetizers were ordered by 10% of the regular customers, by 40% of the occasional customers, and 25% of the new customers. What is the probability that a customer is both a new customer and orders appetizers? Select one: O a. 0.05 O b. 0.5957 O C. 0.235 O d. 0.40 O e. None of the above