A garage sells three type of fuel; U95,U98 and Diesel. In a survey of 200 motori
ID: 3055619 • Letter: A
Question
A garage sells three type of fuel; U95,U98 and Diesel. In a survey of 200 motorists buying fuel at the garage, 80 are female and the rest are male. Of the 90 motorists buying U95 fuel, 50 were female and of the 70 motorists buying diesel, of wee male. A motorist does not buy more than one ype Find the probability that a randomly chosen motorist a)Buy U98 fuel. b)is male, given that the motorist buys U98 fuel. Garage records indicate that 10% of the motorist buying U95, 30% of the motorists buying U98 and 40% of the motorists buying diesel have their car serviced by the garage. A motorist is chosen at random, c)Find the probability that this motorist has his or her car serviced in the garage. digiven the motorist has his or her car serviced by the garage, find the probability that the motorist buys diesel fuel.
Explanation / Answer
The table showing the various number of people is as below:
(a) Probability that a randomly chosen motorist buys U98 = 40/200 = 0.2
(b) Total number of motorists buying U98 is 40, with male and female 20 each.
Probability that a randomly chosen motorist is male, given that he buys U98 = 20/40= 0.5
We add an additional column to show the number of motorists using the garage service facility. The revised table is as below:
(c) Probability that a randomly chosen motorist has his/her car serviced in the garage = 49/200 = 0.245
(d) Probability that the motorist buys diesel, given that he has his/her car serviced at the garage,
= 28/49 = 0.571
Male Female Total U95 40 50 90 U98 20 20 40 Diesel 60 10 70 Total 120 80 200Related Questions
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