A bicycle company makes two mountain bike models that each come in three colors.
ID: 3051411 • Letter: A
Question
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-50 301 89 205 YZ-99 35 211 134 a. Based on the relative frequency assessment method, what is the probability that a manufactured item is blue? P(blue)equals nothing (Round to four decimal places as needed.) b. What is the probability that the product manufactured is a YZ dash 99? P(YZ dash 99)equals nothing (Round to four decimal places as needed.) c. What is the probability that a product manufactured is a YZ dash 99 and blue? P(YZ dash 99 and blue)equals nothing (Round to four decimal places as needed.) d. Suppose a product was chosen at random. Consider the following events: the event that model YZ dash 99 was chosen and the event that a brown product was chosen. Are these two events mutually exclusive? Explain. A. The two events are not mutually exclusive because the probability of the events occurring together is 0. B. The two events are mutually exclusive because the probability of the events occurring together is not 0. C. The two events are not mutually exclusive because the probability of the events occurring together is not 0. D. The two events are mutually exclusive because the probability of the events occurring together is 0. Click to select your answer(s).
Explanation / Answer
a) Probability that manufactured item is blue
Number of blue items=336
Total number of items=975
Probability=336/975=0.3446
b) Probability that manufactured item is YZ-99
Number of YZ-99 items=380
Total number of items=975
Probability=380/975=0.3897
c) Probability that a product is YZ-99 and blue
Probability=35/975=0.0359
d) The 2 events are
Model YZ-99 was chosen
Event that a brown product was chosen
Probability that model is YZ-99 and brown color is
211/975=0.2164
2 events A and B are mutually exclusive if P(A and B)=0
These 2 events are not mutually exclusive because the probability of events occuring together is not 0.
Option (c) is the answer
Color Model Blue Brown White XB- 50 301 89 205 YZ- 99 35 211 134Related Questions
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