Question

Suppose a celebrity gains a twitter follower every 15 minutes, with a pattern that conforms to...

Suppose a celebrity gains a twitter follower every 15 minutes, with a pattern that conforms to the exponential distribution. He has 999,999 followers. What is the probability he'll have to wait at least half an hour to reach 1 million?

0 0
Add a comment Improve this question Transcribed image text
Answer #1
here for exponential distribution parameter β = 15

probability he'll have to wait at least half an hour to reach 1 million =P(no new follower in next 30 minutes):

P(X>30)=1-P(X<30)=1-(1-exp(-30/15))= 0.1353
Add a comment
Know the answer?
Add Answer to:
Suppose a celebrity gains a twitter follower every 15 minutes, with a pattern that conforms to...
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
  • 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:...

  • The number of customers arriving at a local business every 15 minutes is 3.  Supposing the arrival...

    The number of customers arriving at a local business every 15 minutes is 3.  Supposing the arrival of customers follows a Poisson distribution, answer the following questions: What is the probability that exactly 5 people arrive in the next 15 minutes? What is the probability that at least 4 people arrive in the next 15 minutes? Probability that between 2 and 6 people arrive inclusive? Expected number to arrive in the next hour? Expected number to arrive in an 8 hour...

  • 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 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...

  • Customers make purchases at a convenience store, on average, every nine minutes. It is fair to...

    Customers make purchases at a convenience store, on average, every nine minutes. It is fair to assume that the time between customer purchases is exponentially distributed. Jack operates the cash register at this store. a-1. What is the rate parameter λ? (Round your answer to 4 decimal places.) a-2. What is the standard deviation of this distribution? (Round your answer to 1 decimal place.) b. Jack wants to take a seven-minute break. He believes that if he goes right after...

  • The parts department of a large automobile dealership has a counter used exclusively for mechanics’ requests...

    The parts department of a large automobile dealership has a counter used exclusively for mechanics’ requests for parts. The time between requests can be modeled by a negative exponential distribution that has a mean of five minutes. A clerk can handle requests at a rate of 15 per hour, and this can be modeled by a Poisson distribution that has a mean of 15. Suppose there are two clerks at the counter. On average, how many mechanics would be at...

  • solve using excel A-C 8. The parts department of a large automobile dealership has a counter...

    solve using excel A-C 8. The parts department of a large automobile dealership has a counter used exclusively for mechanics' requests for parts. The time between requests can be modeled by a negative exponential distribution that has a mean of five minutes. A clerk can handle requests at a rate of 15 per hour, and this can be modeled by a Poisson distribution that has a mean of 15. Suppose there are two clerks at the counter. a. On average,...

  • Out of 15 for 3% of the overall grade Assignment #3 Name: 1) Sunshine Insurance offers...

    Out of 15 for 3% of the overall grade Assignment #3 Name: 1) Sunshine Insurance offers life insurance to men age 80. Mortality tables indicate the likelihood of a 80-year-old man surviving another year is.94. If the policy is offered to six men age 80 a. What is the probability all eight men survive the year? b. What is the probability that at least one survives? 2) A basketball player scores 70% of his shots on average. What is the...

  • Multiple Server Waiting Line Model Regional Airlines Assumptions Poisson Arrivals Exponential Service Times Number of Servers...

    Multiple Server Waiting Line Model Regional Airlines Assumptions Poisson Arrivals Exponential Service Times Number of Servers Arrival Rate Service Rate For Each Server Operating Characteristics 4 Probability that no customer are in the system, Po 5 Average number of customer in the waiting line, L 6 Average number of customer in the system, L 7 Average time a customer spends in the waiting line, W 18 Average time a customer spends in the system, W 19 Probability an arriving customer...

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
ADVERTISEMENT