Question

Suppose that buses are coming into a station at an average rate 4 per hour according...

Suppose that buses are coming into a station at an average rate 4 per hour according to a Poisson process. We start to account the buses from 1:00 (pm).

(a) What is the probability that no buses arrive between 1:00pm-2:00pm?
(b) What is the probability that three buses arrive between 1:00pm-3:00pm?
(c) What is the probability that the third bus takes more that 3 hours to arrive?

(d) What is the expected time the third bus arrive to the station?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that Airplanes are coming into an Airfield at an average rate 4 per hour according...
Suppose that Airplanes are coming into an Airfield at an average rate 4 per hour according to a Poisson process. We start to account the Airplanes from 3:00 (pm). (a) What is the probability that the third Airplanes takes more that 2 hours to arrive? (b) What is the expected time the third Airplanes arrive to the station? (c) What is the probability that three Airplanes arrive between 3:00pm-4:00pm? (d) What is the probability that no buses arrive between 3:00pm-5:00pm?
suppose starting at 8am buses arrive at a bus stop according to the poisson process at...
suppose starting at 8am buses arrive at a bus stop according to the poisson process at a rate of one every 15 mins. if the 1st bus has not arrived by 815am what is the probability it will arrive before 830 am. B. find the probability that the 3rd bus arrives after 9am. note we do not assume the condition that the 1st bus has not arrived by 815 am as stated above
Buses arrive at a certain stop according to a Poisson process with rate λ. If you...
Buses arrive at a certain stop according to a Poisson process with rate λ. If you take the bus from that stop then it takes a time R, measured from the time at which you enter the bus, to arrive home. If you walk from the bus stop then it takes a time W to arrive home. Suppose your policy when arriving at the bus stop is to wait up to time s, and if a bus has not yet...
Suppose that at a particular bus stop, Brown buses arrive according to a Poisson process with...
Suppose that at a particular bus stop, Brown buses arrive according to a Poisson process with a constant rate of 3 per hour. The travel time on the Brown bus to your class is 7 minutes. (The Brown bus drops you off at your class.).  When you approach the bus stop, you see that you have just missed a Blue bus. Class starts in 20 minutes and it is exam day so you want to get to class as soon as...
Vehicles arrive at the Bun-and-Run drive-thru at a Poisson rate of 10 per hour. On average,...
Vehicles arrive at the Bun-and-Run drive-thru at a Poisson rate of 10 per hour. On average, 25% of these vehicles are trucks. Calculate the probability that at least 2 trucks arrive between noon and 2:00 PM. (Round to 3 decimals)
At an airport domestic flight arrive according to a Poisson distribution with rate 5 per hour,...
At an airport domestic flight arrive according to a Poisson distribution with rate 5 per hour, and international flights arrive according to a Poisson distribution with rate 1 per hour. What is the probability that the time between third and fourth flight arrivals is more than 15 minutes?
Suppose passengers arrive at a MARTA station between 10am-5pm following a Poisson process with rate λ=...
Suppose passengers arrive at a MARTA station between 10am-5pm following a Poisson process with rate λ= 60 per hour. For notation, let N(t) be the number of passengers arrived in the first t hours, S0= 0 , Sn be the arrival time of the nth passenger, Xn be the interrarrival time between the (n−1)st and nth passenger. a. What is the probability that ten passengers arrive between 2pm and 4pm given that no customer arrive in the first half hour?...
Cars arrive to a gas station according to a Poisson distribution with a mean of 4...
Cars arrive to a gas station according to a Poisson distribution with a mean of 4 cars per hour. Use Excel or StatCrunch to solve. a. What is the expected number of cars arriving in 2 hours, or λt? b. What is the probability of 6 or less cars arriving in 2 hours? ROUND TO FOUR (4) DECIMAL PLACES. c. What is the probability of 9 or more cars arriving in 2 hours? ROUND TO FOUR (4) DECIMAL PLACES.
Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α...
Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t. (Round your answers to three decimal places.) (a) What is the probability that exactly 7 small aircraft arrive during a 1-hour period?____________ What is the probability that at least 7 small aircraft arrive during a 1-hour period?_____________ What...
On Fridays at KK airport in Lusaka, airplanes arrive at an average of 3 for the...
On Fridays at KK airport in Lusaka, airplanes arrive at an average of 3 for the one hour period 13 00 hours to 14 00 hours. If these arrivals are distributed according to the Poisson probability distribution, what are the probability that either one or two airplanes will arrive between 13.00 hours and 14 00 hours next Friday?   
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT