Question

assume that the amount of time (x), in minutes that a person must wait for a...

assume that the amount of time (x), in minutes that a person must wait for a bus is uniformly distributed between 0 & 20 min.
a) find the mathematical expression for the probability distribution and draw a diagram. assume that the waiting time is randomly selected from the above interval
b) find the probability that a eprson wait elss than 15 min.
c) find the probability that a person waits between 5-10 min.
d) find the probability the waiting time is exaclty 12 min.
e) find the expected(mean) waiting time at the bus station
f) find the standard deviation of the waiting time at the bus station

Homework Answers

Answer #1

given that amount of time X that a person wait for bus is uniformly distributed between 0and 20 min.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The amount of time, in minutes, that a person must wait for a bus is uniformly...
The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 20 minutes, inclusive. What is the probability that a person waits fewer than 13.5 minutes? On the average, how long must a person wait? Find the mean, μ, and the standard deviation, σ. Find the 40th percentile. Draw a graph.
The amount of time, in minutes, that a person must wait for a bus is uniformly...
The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between 0 and 15 minutes, inclusive. 1. What is the average time a person must wait for a bus? 2. What is the probability that a person waits 12.5 minutes or less?
The amount of time, in minutes, that a person must wait for a taxi is uniformly...
The amount of time, in minutes, that a person must wait for a taxi is uniformly distributed between 1 and 30 minutes, inclusive. 1.Find the probability density function, f(x). 2.Find the mean. 3.Find the standard deviation. 4.What is the probability that a person waits fewer than 5 minutes. 5.What is the probability that a person waits more than 21 minutes. 6.What is the probability that a person waits exactly 5 minutes. 7.What is the probability that a person waits between...
The amount of time, in minutes, that a person must wait for a taxi is uniformly...
The amount of time, in minutes, that a person must wait for a taxi is uniformly distributed between 1 and 30 minutes, inclusive. 1.Find P(x<10 | x<22). 2.Find the 60th percentile.
A bus comes by every 9 minutes. The times from when a person arives at the...
A bus comes by every 9 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 9 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 3 minutes is... d. Suppose that the person has...
A bus comes by every 11 minutes. The times from when a person arives at the...
A bus comes by every 11 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 11 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. The mean of this distribution is 5.50 Correct The standard deviation is 3.1754 Correct The probability that the person will wait more than 4 minutes is 0.6364 Correct Suppose that the...
(4.13) Let X be the wait times for riders of a bus at a particular bus...
(4.13) Let X be the wait times for riders of a bus at a particular bus station. Suppose the wait times have a uniform distribution from 0 to 20. (Use the standard normal distribution if applicable) A)Find the probability that a random passenger has to wait between 5 and 10 minutes for a bus. B)Find the probability that a random rider has to wait more than 12 minutes for the bus, given they have already waited 7 minutes. C)Suppose we...
1. Assume the waiting time at the BMV is uniformly distributed from 10 to 60 minutes,...
1. Assume the waiting time at the BMV is uniformly distributed from 10 to 60 minutes, i.e. X ∼ U ( 10 , 60 )X ∼ U ( 10 , 60 ) What is the expected time waited (mean), and standard deviation for the above uniform variable?   1B) What is the probability that a person at the BMV waits longer than 45 minutes? 1C) What is the probability that an individual waits between 15 and 20 minutes, OR 35 and...
Suppose the wait time for bus is uniformly distributed from 0 to 20 minutes. If you...
Suppose the wait time for bus is uniformly distributed from 0 to 20 minutes. If you look at the average wait times for 50 person samples, what type of distribution would the sample means follow approximately? What would be the mean of the sample means? What would be the standard deviation of the sample means?
Quiz 4. John's answering machine receives about 7 telephone calls between 8 a.m. and 10 a.m....
Quiz 4. John's answering machine receives about 7 telephone calls between 8 a.m. and 10 a.m. What is the probability that John receives exactly one phone call between 9:00 am and 9:15 am? 5. Bus waiting time is uniformly distributed with the shortest and the longest waiting times being 9 and 21 minutes respectively. What is the standard deviation of the average waiting time of 46 passenger 6. The amount of time spouses shop for anniversary cards can be modeled...