A bicycle company makes two mountain bike models that each come in three colors. Use the following table, which shows the production volumes for one week, to answer parts a through d. Color Model Blue Brown White XB-50 304 100 229 191 CD-99 38 125 a. Based on the relative frequency assessment method, what is the probability that a manufactured item is brown? P(brown) = (Round to four decimal places as needed.) b. What is the probability that the product manufactured is an XB-50? P(XB-50) = (Round to four decimal places as needed.) c. What is the probability that a product manufactured is an XB-50 and brown? P(XB-50 and brown) = (Round to four decimal places as needed.)

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d. Suppose a product was chosen at random. Consider the following events: the event that model XB-50 was chosen and the event that a blue product was chosen. Are these two events mutually exclusive?
Explain.
O A. The two events are mutually exclusive because the probability of the events occurring together is 0.
O B. The two events are mutually exclusive because the probability of the events occurring together is not 0.
O C. The two events are not mutually exclusive because the probability of the events occurring together is 0.
O D. The two events are not mutually exclusive because the probability of the events occurring together is not 0.
Click to select your answer(s).
Transcribed Image Text:d. Suppose a product was chosen at random. Consider the following events: the event that model XB-50 was chosen and the event that a blue product was chosen. Are these two events mutually exclusive? Explain. O A. The two events are mutually exclusive because the probability of the events occurring together is 0. O B. The two events are mutually exclusive because the probability of the events occurring together is not 0. O C. The two events are not mutually exclusive because the probability of the events occurring together is 0. O D. The two events are not mutually exclusive because the probability of the events occurring together is not 0. Click to select your answer(s).
A bicycle company makes two mountain bike models that each come in three colors. Use the following table, which shows the production volumes for one week, to answer parts a through d.
Color
Model
Blue
Brown
White
XВ-50
304
100
191
CD-99
38
229
125
a. Based on the relative frequency assessment method, what is the probability that a manufactured item is brown?
P(brown)= (Round to four decimal places as needed.)
%3D
b. What is the probability that the product manufactured is an XB-50?
P(XB-50)= (Round to four decimal places as needed.)
c. What is the probability that a product manufactured is an XB-50 and brown?
P(XB-50 and brown) = (Round to four decimal places as needed.)
%3D
Transcribed Image Text:A bicycle company makes two mountain bike models that each come in three colors. Use the following table, which shows the production volumes for one week, to answer parts a through d. Color Model Blue Brown White XВ-50 304 100 191 CD-99 38 229 125 a. Based on the relative frequency assessment method, what is the probability that a manufactured item is brown? P(brown)= (Round to four decimal places as needed.) %3D b. What is the probability that the product manufactured is an XB-50? P(XB-50)= (Round to four decimal places as needed.) c. What is the probability that a product manufactured is an XB-50 and brown? P(XB-50 and brown) = (Round to four decimal places as needed.) %3D
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