1 answer

A bicycle company makes two mountain bike models that each come in three colors. Use the...

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

XK​-50

290

100

205

CD​-99

47

206

126

a. Based on the relative frequency assessment​ method, what is the probability that a manufactured item is

blue​?

​P(blue​)=nothing

​(Round to four decimal places as​ needed.)b. What is the probability that the product manufactured is

a

CD-99​?

​P(CD-99​)=nothing

​(Round to four decimal places as​ needed.)c. What is the probability that a product manufactured is

a

CD-99

and

blue​?

​P(CD-99

and

blue​)=nothing

​(Round to four decimal places as​ needed.)d. Suppose a product was chosen at random. Consider the following​ events: the event that model

CD-99

was chosen and the event that a

white

product was chosen. Are these two events mutually​ exclusive? Explain.


Answers

The table given to us is as follows. Modelo color Brown Blue white Total XK -50 290 100 205 595 CD-99 47 206 126 379 Total 33P(CD-99) Number of CD-99 bikes Total number of bikes 379 974 0.3891 Thus the probability that a product manufactured is a CD-(d) Let 4 be the event, a product was chosen at random was CD-99 model Let B be the event that a klhite product was chosen WeHere, PC AUB) = P(AOYB) = P(A) + P(B) - P(AB) P(CD-99) + P( White ) - P(CD-99&white) 0.3891 + 0.3398 -0.1294 0.5995 Here PCAU

.

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