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a city department of transportation studied traffic congestion on a certain highway. to encourage carpooling, the department will recommend a carpool lane if the average number of people in passenger cars on the highway is less than 2 . the probability distribution of the number of people in passenger cars on the highway is shown in the table. number of people 1 2 3 4 5 probability 0.56 0.28 0.08 0.06 0.02 based on the probability distribution, what is the mean number of people in passenger cars on the highway?
a city department of transportation studied traffic congestion on a certain highway. to encourage carpooling, the department will recommend a carpool lane if the average number of people in passenger cars on the highway is less than 2 . the probability distribution of the number of people in passenger cars on the highway is shown in the table. number of people 1 2 3 4 5 probability 0.56 0.28 0.08 0.06 0.02 based on the probability distribution, what is the mean number of people in passenger cars on the highway?
Themeannumber of people in passenger cars on the highway is1.7(approximately 2).Themean of a probability distribution functionis also known asExpectationof the probability distribution function.Themeannumber of people in passenger cars (orexpectationof number of people in passenger cars ) on the highway can be denoted as E(x) where x is the number of people in passenger cars on the highway.Thus E(x) can be calculated as,E(x) = ∑∀ i= 1,2,3,4,5where,is theprobabilityof number of people in passenger cars on the highway⇒ E(x) = (1)(0.56) + (2)(0.28) + (3)(0.08) + (4)(0.06) + (5)(0.02)⇒ E(x) = 1.7Hence themeannumber of people in passenger cars on the highway is1.7, which is less than 2.To know more aboutmean (or,expectation) of a probability distributionherebrainly.com/question/29068283#SPJ4...