only need an answer for (d)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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I only need an answer for (d)

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
191
CD-99
38
229
125
P(XB-50) = 0.6028 (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)= 0.1013 (Round to four decimal places as needed.)
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.
OC. 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.
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 XB-50 304 100 191 CD-99 38 229 125 P(XB-50) = 0.6028 (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)= 0.1013 (Round to four decimal places as needed.) 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. OC. 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.
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