A bus comes by every 13 minutes. The times from when a person arives at the...
A bus comes by every 13 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 13 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible.
a. The mean of this distribution is
b. The standard deviation is ?
c. The probability that the person will wait more than 7 minutes is ?
d. Suppose that the person has already been waiting for 1.8 minutes. Find the probability that the person's total waiting time will be between 3.2 and 4.3 minutes
e. 45% of all customers wait at least how long for the train? minutes.
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A bus comes by every 13 minutes. The times from when a person
arives at the...
A bus comes by every 14 minutes. The times from when a person arives at the...
A bus comes by every 14 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 14 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. c. The probability that the person will wait more than 4 minutes is _____ d. Suppose that the person has already been waiting for 0.5 minutes. Find the probability that the...
A bus comes by every 15 minutes. The times from when a person arives at the...
A bus comes by every 15 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 15 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the person will wait more than 5 minutes is d. Suppose that the person has...
Part 3: The Uniform Distribution Suppose that you need to take a bus that comes every...
Part 3: The Uniform Distribution
Suppose that you need to take a bus that comes every 30 minutes.
Assume that the amount of time you have to wait for this bus has a
uniform distribution between 0 and 30 minutes. The probability
density curve for this distribution is given below.
1) Is waiting time a discrete or continuous random variable?
2) What is the area of this entire rectangle?
3) What numbers are represented by a, b and c (note:...
5. Suppose that a person commutes to work by bus. The person arrives at the bus...
5. Suppose that a person commutes to work by bus. The person arrives at the bus stop at the same time every day. The waiting time is uniformly distributed from 5-10 minutes. a) What is the probability that the person waits between 5 minutes and 15 seconds to 7 minutes and 30 seconds? b) What is the probability that the person waits more than 7 minutes and 45 seconds?
A bus arrives every 11 minutes to a stop. The waiting time for a particular individual...
A bus arrives every 11 minutes to a stop. The waiting time for a particular individual is assumed to be a random variable with uniform continuous distribution. What is the probability that the individual waits for more than 6 minutes? Answer using 4 decimals.
A city bus arrives at your bus stop every 8 minutes and follows a uniform distribution....
A city bus arrives at your bus stop every 8 minutes and follows a uniform distribution. The average wait time is 1 minute. 2 minutes. 3 minutes. 4 minutes. 5 minutes. None of the above.
2. The 46A bus leaves the terminus every 10 minutes exactly. For this reason, for any individual who arrives at a bus s...
2. The 46A bus leaves the terminus every 10 minutes exactly. For this reason, for any individual who arrives at a bus stop on the route, his minimum waiting time is 0 minutes and his maximum waiting time is 10 minutes, and between these two times, all possible waiting times are equally likely. Write down the probability density function for waiting times on the bus route and draw the distribution. What is the expected waiting time? What is the standard...
The bus arrives every 15 minutes starting at 8:00am and leaves immediately. You arrive at the...
The bus arrives every 15 minutes starting at 8:00am and leaves immediately. You arrive at the bus stop with a uniform distribution between 8:05am and 8:30am. Given that the bus arrival time and the time that you arrive at the bus stop are independent, what is the PDF of your wait time? Graph the PDF of your wait time.
A bus arrives at a stop every 15 minutes exactly, in a very consistent way, very...
A bus arrives at a stop every 15 minutes exactly, in a very consistent way, very easily drawn. A passenger is not aware of the schedule, and arrives randomly at the stop. Let X represent the number of minutes they wait for the bus to arrive. What type of random variable is X, if the passenger arrives completely randomly at the stop? Circle the correct answer: Discrete Normal Uniform Sketch a picture for X based upon your answer to part...
A person arrives at a bus stop each morning. The waiting time, in minutes, for a...
A person arrives at a bus stop each morning. The waiting time, in minutes, for a bus to arrive is uniformly distributed on the interval (0,15). a. What is the probability that the waiting time is less than 5 minutes? b. Suppose the waiting times on different mornings are independent. What is the probability that the waiting time is less than 5 minutes on exactly 4 of 10 mornings?
Part 3: The Uniform Distribution
Suppose that you need to take a bus that comes every 30 minutes.
Assume that the amount of time you have to wait for this bus has a
uniform distribution between 0 and 30 minutes. The probability
density curve for this distribution is given below.
1) Is waiting time a discrete or continuous random variable?
2) What is the area of this entire rectangle?
3) What numbers are represented by a, b and c (note:...
5. Suppose that a person commutes to work by bus. The person arrives at the bus stop at the same time every day. The waiting time is uniformly distributed from 5-10 minutes. a) What is the probability that the person waits between 5 minutes and 15 seconds to 7 minutes and 30 seconds? b) What is the probability that the person waits more than 7 minutes and 45 seconds?
2. The 46A bus leaves the terminus every 10 minutes exactly. For this reason, for any individual who arrives at a bus stop on the route, his minimum waiting time is 0 minutes and his maximum waiting time is 10 minutes, and between these two times, all possible waiting times are equally likely. Write down the probability density function for waiting times on the bus route and draw the distribution. What is the expected waiting time? What is the standard...
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