There are three entrances to the car park at Tea Tree Plaza. Cars arrive at each entrace as Poisson processes with rates d = 1.5, A, = 1.9 and %3D = 1.8 per minute. (a) What is mean time between arrivals at entrance 1? (number) (b) What is the total rate (per minute) that cars enter the carpark? (number) (c) What is the probability that 29 cars enter from entrances 2 and 3 over a period of 9 minutes? (number) The probability that a random car entering the carpark is yellow is 5E-4 ? (d) What is the probabiliy that no yellow cars enter the carpark over a period of 8 hours? (number)

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There are three entrances to the car park at Tea Tree Plaza. Cars arrive at each entrace as Poisson processes with ratesd1
1.5, A2
= 1.9 and
= 1.8 per minute.
(a) What is mean time between arrivals at entrance 1?
(number)
(b) What is the total rate (per minute) that cars enter the carpark?
(number)
(c) What is the probability that 29 cars enter from entrances 2 and 3 over a period of 9 minutes?
(number)
The probability that a random car entering the carpark is yellow is 5E-4 ?
(d) What is the probabiliy that no yellow cars enter the carpark over a period of 8 hours?
(number)
Transcribed Image Text:There are three entrances to the car park at Tea Tree Plaza. Cars arrive at each entrace as Poisson processes with ratesd1 1.5, A2 = 1.9 and = 1.8 per minute. (a) What is mean time between arrivals at entrance 1? (number) (b) What is the total rate (per minute) that cars enter the carpark? (number) (c) What is the probability that 29 cars enter from entrances 2 and 3 over a period of 9 minutes? (number) The probability that a random car entering the carpark is yellow is 5E-4 ? (d) What is the probabiliy that no yellow cars enter the carpark over a period of 8 hours? (number)
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