Question

a production line has 2 failures per month on average. assuming the number of failures follows...

a production line has 2 failures per month on average. assuming the number of failures follows a poisson distribution, what is the probability that there are three failures in the next two months? (e=2.718)

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
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
Similar Questions
the number of accidents on a particular highway average 4.4 per year. assume that the number...
the number of accidents on a particular highway average 4.4 per year. assume that the number of accidents follows a Poisson distribution. what is the probability that there are exactly four accidents next year? what is the probability that there are more than three accidents next year?
There is an average of 60 accidents per month (specifically 30 days) along a relatively busy...
There is an average of 60 accidents per month (specifically 30 days) along a relatively busy area of the California Thruway. Assuming that the daily number of accidents follows a Poisson distribution and that the number of accidents on different days are independent, determine the following: A. The probability that there will be fewer than three accidents tomorrow. B. The probability of exactly three accidents on June 17 and two accidents on June 19.
Suppose that the average number of accidents at an intersection is 2 per month. a) Use...
Suppose that the average number of accidents at an intersection is 2 per month. a) Use Markov’s inequality to find a bound for the probability that at least 5 accidents will occur next month. b) Using Poisson random variable (λ = 2) calculate the probability that at least 5 accidents will occur next month. Compare it with the value obtained in a). c) Let the variance of the number of accidents be 2 per month. Use Chebyshev’s inequality to find...
One airline averages about 1.5 fatalities per month. Assume that X, the number of fatalities per...
One airline averages about 1.5 fatalities per month. Assume that X, the number of fatalities per month, has the Poisson probability distribution. What is the probability that in a month the airlines will have no fatality? i.e. P(X = 0). [Round to 4 decimal places] Tries 0/5 What is the probability that in a month the airlines will have less than average fatality? i.e. P(X < μX), where μX is the expected value of the given Poisson distribution. [Round to...
A telephone company's goal is to have no more than 3 monthly line failures on any...
A telephone company's goal is to have no more than 3 monthly line failures on any 100 miles of line. The company currently experiences an average of 5 monthly line failures per 50 miles of line. Let x denote the number of monthly line failures per 100 miles of line. Assuming x has a Poisson distribution: (a) Find the probability that the company will meet its goal on a particular 100 miles of line. (Do not round intermediate calculations. Round...
The number of customers that enter a Starbucks follows a Poisson distribution with an average of...
The number of customers that enter a Starbucks follows a Poisson distribution with an average of 2 customers every 15 minutes. (a) What is the probability that on the next hour at least six customers enter this Starbucks? (b) Assuming that a customer just walked in, what is the probability that the next customer walks in after 15 minutes? (c) Suppose 5% of people who pass this Starbucks enter for a coffee. What are the chances that among the next...
The main production line in a manufacturing plant runs 24 hours a day and breaks down...
The main production line in a manufacturing plant runs 24 hours a day and breaks down on average 2.6 times in a working week of 7 days. It is known that the number of breakdowns has a Poisson distribution. i. What is the probability that the production line breaks down three (3) times in one working week?    ii. What is the probability that the production line breaks down one (1) or more times in two working weeks?   
Suppose that the number of accidents occurring on a highway per hour follows a Poisson distribution...
Suppose that the number of accidents occurring on a highway per hour follows a Poisson distribution with a mean of 1.25. What is the probability of exactly three accidents occur in hour? What is the probability of less than two accidents in ten minutes? What is the probability that the time between two successive accidents is at least ten minutes? If ten minutes have gone by without an accident, what is the probability that an accident will occur in the...
Suppose that the number of accidents occurring on a highway per hour follows a Poisson distribution...
Suppose that the number of accidents occurring on a highway per hour follows a Poisson distribution with a mean of 1.25. What is the probability of exactly three accidents occur in hour? What is the probability of less than two accidents in ten minutes? What is the probability that the time between two successive accidents is at least ten minutes? If ten minutes have gone by without an accident, what is the probability that an accident will occur in the...
A) Suppose that the number of visits to a certain website during a fixed interval follows...
A) Suppose that the number of visits to a certain website during a fixed interval follows a Poisson distribution. Suppose that the average of the visit ratio is five in each minute. What is the probability that there are only 17 visits in the next three minutes? POSSIBLE ANWERS FOR A: a.- 0.0847 b.- 0.0145 c.- 0.2345 d.- 0.0897 B) In a lottery, 10,000,000 tickets are sold for a raffle with 100 prizes. How many lottery tickets must be purchased...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT