ZuoTi.Pro
Question

Assume a Poisson random variable has a mean of 14 successes over a 112-minute period. a....

Assume a Poisson random variable has a mean of 14 successes over a 112-minute period.

a. Find the mean of the random variable, defined by the time between successes.

b. What is the rate parameter of the appropriate exponential distribution? (Round your answer to 2 decimal places.)

c. Find the probability that the time to success will be more than 50 minutes. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

0 0
Add a comment
Know the answer?
Add Answer to:
Assume a Poisson random variable has a mean of 14 successes over a 112-minute period. a....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

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

  • Exercise 6-53 Algo Assume a Poisson random variable has a mean of 5 successes over a...

    Exercise 6-53 Algo Assume a Poisson random variable has a mean of 5 successes over a 125-minute period. a. Find the mean of the random variable, defined by the time between successes. b. What is the rate parameter of the appropriate exponential distribution? (Round your answer to 2 decimal places.) c. Find the probability that the time to success will be more than 70 minutes. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal...

  • Let the mean success rate of a Poisson process be 8 successes per hour. Let the...

    Let the mean success rate of a Poisson process be 8 successes per hour. Let the mean success rate of a Poisson process be 8 successes per hour. a. Find the expected number of successes in a 33 minutes period. (Round your answer to 4 decimal places.) Expected number of successes b. Find the probability of at least 2 successes in a given 33 minutes period. (Round your answer to 4 decimal places.) Probability c. Find the expected number of...

  • Let the mean success rate of a Poisson process be 11 successes per hour. a. Find...

    Let the mean success rate of a Poisson process be 11 successes per hour. a. Find the expected number of successes in a 24 minutes period. (Round your answer to 4 decimal places.) b. Find the probability of at least 2 successes in a given 24 minutes period. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) c. Find the expected number of successes in a two hours period. (Round your answer to 4 decimal places.)...

  • For Number 1, I need help on part C. For Number 2, I need help on...

    For Number 1, I need help on part C. For Number 2, I need help on part C. Assume a Poisson random variable has a mean of 8 successes over a 112-minute period. a. Find the mean of the random variable, defined by the time between successes. Answer is complete and correct. Mean14 b. What is the rate parameter of the appropriate exponential distribution? (Round your answer to 2 decimal places.) Answer is complete and correct. Rate 007 parameter 0.07...

  • Let the mean success rate of a Poisson process be 7 successes per hour. a. Find...

    Let the mean success rate of a Poisson process be 7 successes per hour. a. Find the expected number of successes in a 43 minutes period. (Round your answer to 4 decimal places.) b. Find the probability of at least 2 successes in a given 43 minutes period. (Round your answer to 4 decimal places.) c. Find the expected number of successes in a two hours 12 minutes period. (Round your answer to 2 decimal places.) d. Find the probability...

  • Let the mean success rate of a Poisson process be 11 successes per hour. c. Find the expected number of successes in a...

    Let the mean success rate of a Poisson process be 11 successes per hour. c. Find the expected number of successes in a three hours period. (Round your answer to 2 decimal places.) X Answer is complete but not entirely correct. Expected number of successes 44.00 d. Find the probability of 28 successes in a given three hours period. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) Probability

  • The number of automobiles entering a tunnel per 2-minute period follows a Poisson distribution. The mean...

    The number of automobiles entering a tunnel per 2-minute period follows a Poisson distribution. The mean number of automobiles entering a tunnel per 2-minute period is four. (A) Find the probability that the number of automobiles entering the tunnel during a 2minute period exceeds one. (B) Assume that the tunnel is observed during four 2-minute intervals, thus giving 4 independent observations, X1, X2, X3, X4, on a Poisson random variable. Find the probability that the number of automobiles entering the...

  • Suppose the random variable x has a Poisson Distribution with mean μ = 7.4. Find the...

    Suppose the random variable x has a Poisson Distribution with mean μ = 7.4. Find the standard deviation σ of x. Round your answer to two decimal places.

  • 4. Students enter the Science and Engineering building according to a Poisson process (Ni with pa...

    4. Students enter the Science and Engineering building according to a Poisson process (Ni with parameter λ 2 students per minute. The times spent by each student in the building are 1.1.d. exponential random variables with a mean of 25 minutes. Find the probability mass function of the number of students in the building at time t (assuming that there are no students in the building at time 0) 4. Students enter the Science and Engineering building according to a...

  • The number of messages sent to a computer website is a Poisson random variable with a...

    The number of messages sent to a computer website is a Poisson random variable with a mean of 5 messages per hour. a. What is the probability that 5 messages are received in 1 hours? b. What is the probability that fewer than 2 messages are received in 0.5 hour? c. Let Y be the random variable defined as the time between messages arriving to the computer bulletin board. What is the distribution of Y? What is the mean of...

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