Question

The waiting time X (in minutes) of a train arrival to a station has an exponential...

The waiting time X (in minutes) of a train arrival to a station has an exponential distribution with mean 3 minutes (E(X)=3, thus ? = 1 3 ).

(a) What is the probability of having to wait 6 or more minutes for a train?

(b) What is the probability of waiting between 4 and 7 minutes for a train?

(c) Find ?(? > 6|? > 2)

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
The waiting time X (in minutes) of a train arrival to a station has an exponential...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 10. The times between train arrivals at a certain train station is exponentially distributed with a...

    10. The times between train arrivals at a certain train station is exponentially distributed with a mean of 10 minutes. I arrived at the station while Dayer was already waiting for the train. If Dayer had already spent 8 minutes before I arrived, determine the following a. b. c· The average length of time I will wait until the next train arrives The probability that I will wait more than 5 minutes until the next train arrives The probability that...

  • The mean waiting time to pass through airport security at a small airport is 3 minutes....

    The mean waiting time to pass through airport security at a small airport is 3 minutes. The wait time has an exponential distribution. Answer the following questions. What is the probability that the wait time will be less than or equal to 2 minutes? What is the probability that the wait time will be more than 3 minutes? What is the probability that the wait time will be between 2 and 5 minutes?

  • answer all parts and show your work! thank you The inter-arrival times (in hours) between train...

    answer all parts and show your work! thank you The inter-arrival times (in hours) between train arrivals to a station has Exponential distribution with mean of 0.25 hours (a) What is the distribution of S2, the time until arrival of the second train? Find the expected waiting time for the second train to arrive. (b) Let N represent the number of trains that arrive to the station in 1 hours. What is the distribution of N? Find the expected number...

  • The wait time (after a scheduled arrival time) in minutes for a train to arrive is...

    The wait time (after a scheduled arrival time) in minutes for a train to arrive is Uniformly distributed over the interval [0,12]. You observe the wait time for the next 95 95 trains to arrive. Assume wait times are independent Use the Normal approximation to the Binomial distribution (with continuity correction) to find the probability (to 2 decimal places) that 56 or more of the 95 wait times recorded exceed 5minutes

  • ​The wait time (after a scheduled arrival time) in minutes for a train to arrive is Uniformly distributed over the interval [0, 12]. You observe the wait time for the next 100 trains to arrive. Assume wait times are independent

    The wait time (after a scheduled arrival time) in minutes for a train to arrive is Uniformly distributed over the interval [0, 12]. You observe the wait time for the next 100 trains to arrive. Assume wait times are independent. Part a) What is the approximate probability (to 2 decimal places) that the sum of the 100 wait times you observed is between 565 and 669? Part b) What is the approximate probability (to 2 decimal places) that the average of the...

  • Please 77. A subway train on the 4 line arrives every sight minutes during rush hour....

    Please 77. A subway train on the 4 line arrives every sight minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive.The time follows a uniform distribution. 1. Define the random variable. X_ 2. Х~ 3. Graph the probability distribution 7. 8. Find the probability that the commuter waits less than one minute. Find the probability that the commuter waits between three and four minutes. 9. Siorty percent of...

  • 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...

  • The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 20 minutes.

    The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 20 minutes. a. What is the probability that the arrival time between customers will be 6 minutes or less? b. What is the probability that the arrival time between customers will be between 4 and 8 minutes?

  • The time spent waiting in the line is approximately normally distributed. The mean waiting time is...

    The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the variance of the waiting time is 4. Find the probability that a person will wait for more than 7 minutes. Round your answer to four decimal places.

  • Suppose you're waiting for train A and your friend train B. Let X denote the wait...

    Suppose you're waiting for train A and your friend train B. Let X denote the wait time for train A, Y the wait time for train B. Both X and Y are in minutes. Suppose that the two wait times have a joint probability density function p(x,y) = 12e-4x-3y. Suppose you're only willing to wait one hour for a train. What is the probability that you'll board your train after your friend boards hers? What is the probability that train...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT