A bicycle manufacturer makes two mountain bike models that each come in three co

Question

A bicycle manufacturer makes two mountain bike models that each come in three colors. The following table shows the production volumes for last week: What is the probability that a manufactured item is brown? What is the probability that the product manufactured is a YZ - 99? What is the probability that a product manufactured is a XB - 50 and blue? What is the probability that the product manufactured is a YZ - 99 given that it is white Suppose a product was chosen at random. Consider the following two events: the event that the model YZ - 99 was chosen and the event that a blue product was chosen. Are these two events mutually exclusive? Explain.

Explanation / Answer

D:

Number of total possible outcomes: total number of white products = 330.

Number of favourible outcomes: number of white YZ-99s = 130

Probability that a white product is YZ-99: p=130/330=0.39393939...

E:

No, since there exist 40 blue YZ-99 bikes, hence these events intersect in this set of 40 products.

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