The five most popular colors for luxury cars manufactured during a particular mo
ID: 2905926 • Letter: T
Question
The five most popular colors for luxury cars manufactured during a particular model year in North America are reported here in percentages.
(a) Why does the column of percentages not total 100%?
(b) Are all probabilities based on this table conditional?
Yes No
If so, what is that condition? (Select all that apply.)
no conditionmanufactured in North Americamanufactured anywheremanufactured in that model yearluxury cars5 most popular cars5 most popular colorseconomy cars
{C}
If one luxury car from that year was picked at random from all luxury cars manufactured in the United States in that year, what is the probability that its color is the following? (Give your answer correct to three decimal places.)
(c) black, silver, gray, white, and white met.
4
(d) not white or white met.
5
(e) black, knowing that the luxury car has one of the five most popular colors
6
(f) black, knowing that the luxury car has one of the five most popular colors but is not white or white met.
7
Explanation / Answer
a) it is mentioned in the problem that the table is for most five popular luxury cars.
So, possiblly remaing 21.1% is of the remaining % of luxury cars.
b) they are conditional probabilities and the table is a joint probability table
c) (i) black, silver, gray, white, and white met :sum of all probablitities: 0.789
(ii) not white or white met : 1- ( 0.154 +0.125) = 0.721
(iii) Black = 0.112