Cross County Bicycles makes two mountain bike models that each come in three colors. The following table shows the production volumes for last week:

Color Model Blue Brown White XB-50 302 105 200 YZ-99 40 205 130

a. Based on the relative frequency assessment method, what is the probability that a manufactured item is brown?

b. What is the probability that the product manufactured is a YZ-99?

c. What is the joint probability that a product manufactured is a YZ-99 and brown?

d. Suppose a product was chosen at random. Consider the following two events: the event that model YZ-99 was chosen and the event that a white product was chosen. Are these two events mutually exclusive? Explain.