3. Cell phones use different color codes when crossing from the coverage area of

Question

3. Cell phones use different color codes when crossing from the coverage area of one base station to another. During a study, two different models of cell phones were used on a driving trip to record how many times each color code was used as they switched coverage areas. A table is shown below of all the times the phones accessed each color code. 0 5 b cTotal Model 1 20 35 40 0 95 Model 2 15 50 6 4 75 Total 35 85 46 4 170 Suppose we randomly select one of the two cell phones at a point during the trip. a) What is the probability that the cell phone is using color code 5? b) What is the probability that the cell phone is using color code 0 or b? e) What is the probability that the cell phone is Model 2 and the color code is not 0? d) What is the probability that the cell phone is Model I or it is using color b?

Explanation / Answer

a) P( Code5) = 85/170 = 0.50

b) P( Code 0 or b) = (35+46)/170 = 0.4765

c) P( Model 2 AND code is not 0) = (50+6+4)/170 = 0.3529

d) P( Model 1 or color b) = (95+6)/170 = 0.5941

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