Question

1911 e 45% of the cars on the road are domestic brands and 55% are brands. Let NC) be the number of cars crossing at a given toll booth during (0,1]. Suppose Nd. 0} is a PP with rate 40 per minute. What is the probability that is four foreign cars and five domestic cars cross the intersection during a 10-second i minterval2 . . . 120: In Computational Problem 3.25 suppose 30 foreign cars have crossed the tolle booth during a 1-minute interval. What is the expected number of domestic cars that llicross the intersection during this interval given this information? E 2013. Consider the toll booth of Computational Problem 3,25. Suppose the toll paid aby d car at the toll booth is $1.00 with probability:3 and $2.00 with prohabilita What are the mean and variance of the toll collected at the toll booth during 1 hour?

Just solve 3.27 please.

Answer 1

Mean = 1*0.3 + 2*0.7 = 1.7

Variance = 12*0.3 + 22*0.7 - 1.72 = 0.21

The mean toll collected at the toll booth during 1 hour is $1.7.

The variance of the toll collected at the toll booth during 1 hour is $0.21.