Cross County Bicycles makes two mountain bike models that each come in three colors.The following table shows the production volumes for last week: Based on the relative frequency assessment method,what is the probability that a manufactured item is brown?
A)0.2088
B)0.3819
C)0.3157
D)0.1324

Question

Cross County Bicycles makes two mountain bike models that each come in three colors.The following table shows the production volumes for last week:  Based on the relative frequency assessment method,what is the probability that a manufactured item is brown?
A)0.2088 
B)0.3819 
C)0.3157 
D)0.1324

Quizplus · Accepted Answer

To use the relative frequency assessment method, we need to calculate the proportion of items that are brown.

Total production volume = 2 models x 3 colors x 694 = 4164 
Frequency of brown = 2 models x 694 x 0.15 = 208.2

Proportion of brown = frequency of brown / total production volume = 208.2 / 4164 = 0.3157

Therefore, the probability that a manufactured item is brown is 0.3157, which corresponds to choice C.

Cross County Bicycles Makes Two Mountain Bike Models That Each