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.
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A bus arrives every 11 minutes to a stop. The waiting time for a
particular individual...
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?
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...
2. The University of Southwest Arizona provides bus transportation services to students while they are on...
2. The University of Southwest Arizona provides bus transportation services to students while they are on campus. A bus arrives at the North Main Street and College Drive stop every 30 minutes, between 6 in the morning and 11 at night during the week. Students arrive at the stop at random times. The time a student waits has a uniform distribution of 0 to 30 minutes. A. Draw a graph of the distribution. B. Show that the area of this...
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 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.
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 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...
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...
Currently the bus runs every 7 minutes during the day. Let X represent the amount of...
Currently the bus runs every 7 minutes during the day. Let X represent the amount of time Sofia waits for the bus, assuming she arrives at the bus stop at a random time and the bus is running on schedule. (That is, the amount of time Sofia waits is uniformly distributed.) Find the following probabilities (use 2 decimal places for all answers): (a) The probability Sofia waits at most 2 minute(s) = (b) The probability Sofia waits less than 2...
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...
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?
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