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 uniform distribution is 1.00.
C. How long will the bus "normally" wait for a student? In other words, what is the average waiting time?
D. What is the standard deviation of waiting times?
E. What is the probability that a student waits more than 25 minutes?
F. What is the probability that a student waits between 10 and 20 minutes?
Homework Answers
Add Answer to:
2. The University of Southwest Arizona provides bus
transportation services to students while they are on...
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 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?
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...
a) Say you wait for the bus on two independent days. What is the probability that...
a) Say you wait for the bus on two independent days. What is the
probability that you wait more than 20 minutes on both days? What
about the probability of waiting more than 20 minutes on just one
of the days?
3. You are to wait for a bus to arrive. The bus arrives every 30 minutes, but you dont know the exact time it will arrive. Thus, you can wait any time between 0 and 30 minutes, and you...
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...
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.
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.
2. Suppose buses arrive at a bus stop according to an approximate Poisson process at a...
2. Suppose buses arrive at a bus stop according to an approximate Poisson process at a mean rate of 4 per hour (60 minutes). Let Y denote the waiting time in minutes until the first bus arrives. (a) (5 points) What is the probability density function of Y? (b) (5 points) Suppose you arrive at the bus stop. What is the probability that you have to wait less than 5 minutes for the first bus? (c) (5 points) Suppose 10...
a) Say you wait for the bus on two independent days. What is the
probability that you wait more than 20 minutes on both days? What
about the probability of waiting more than 20 minutes on just one
of the days?
3. You are to wait for a bus to arrive. The bus arrives every 30 minutes, but you dont know the exact time it will arrive. Thus, you can wait any time between 0 and 30 minutes, and you...
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?
2. Suppose buses arrive at a bus stop according to an approximate Poisson process at a mean rate of 4 per hour (60 minutes). Let Y denote the waiting time in minutes until the first bus arrives. (a) (5 points) What is the probability density function of Y? (b) (5 points) Suppose you arrive at the bus stop. What is the probability that you have to wait less than 5 minutes for the first bus? (c) (5 points) Suppose 10...
Most questions answered within 3 hours.
-
A monopoly sells in two countries . The demand curves in the two
countries are p1...
asked 22 minutes ago -
A .15kg rubber ball is bounced off a wall. Before hitting the
wall, the ball moves...
asked 1 hour ago -
A manufacturing company preparing to build a new plant is
considering three potential locations for it....
asked 1 hour ago -
B. If compound Y has approximately the same values of solubility
in toluene as compound X,...
asked 1 hour ago -
Oscar Inc. has inventory in Japan valued at 39,051,000 Yen one
year ago. One year ago...
asked 1 hour ago -
If Canada suffered from "fundamental disequilibrium," and its
government choose not to devalue its currency, a...
asked 2 hours ago -
4. How many input & output Key Value Pairs are passed into,
and emitted out of...
asked 2 hours ago -
Why would your heart not function well if constructed of
skeletal muscle? What is the particular...
asked 2 hours ago -
Please respond to this essay question in full essay form for
Chemistry 1102 Organic and Biochemistry:...
asked 2 hours ago -
Determine the head loss and velocity of flow in a water supply main
of 15.0 cm...
asked 2 hours ago -
A marketing executive who knowingly authorizes a shoddy
defective product to be brought to market is...
asked 2 hours ago -
Write a psudocode:
1. Define a function called authorize that takes in 2 strings,
uName, and...
asked 2 hours ago