Question

When choosing ice cream flavors at an ice cream shop, the following trends occur: 30% of customers choose chocolate, 20% of customers choose strawberry, and the rest choose vanilla. (A customer can only choose one flavor). Suppose also we classify customers as either children (under 16 years old) or adults (16 or older). Suppose that 50% of the customers who choose chocolate are over children, 25% of customers that choose vanilla are children, and 30% of customers who choose strawberry are children.

1. What is the probability that a customer is a child and chooses vanilla. What is the probability that an adult chooses chocolate?

2. If a random sample of 10 customers are chosen to take a survey, what is the probability that less than three customers chose chocolate?

3. If a random sample of 10 customers are chosen to take a survey, what is the expected number of customers who did not choose strawberry?

Answer 1