Question

on a particular motorway bridge, breakdowns occur at a rate of 3.2 a week. Assuming that...

on a particular motorway bridge, breakdowns occur at a rate of 3.2 a week. Assuming that the number of breakdowns can be modeled by a Poisson distribution, find the probability that
a) fewer than the mean number of breakdowns occur in a particular week,
b) more than five breakdowns occur in a given fornight
c) exactly three breakdowns occur in each of four successive weeks
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
in a food processing and packaging plant, there are, on the average, two packaging machine breakdowns...
in a food processing and packaging plant, there are, on the average, two packaging machine breakdowns per week. Assume the weekly machine breakdowns follow a Poisson distribution. Find the mean and standard of this distribution. Find the probability that there are 3 or more machine breakdowns in a given week. Show your work please and thank you in advance.
1. An automobile manufacturer has determined that 33% of all gas tanks that were installed on...
1. An automobile manufacturer has determined that 33% of all gas tanks that were installed on its 2015 compact model are defective. If 16 of these cars are independently sampled, what is the probability that at least 6 of the sample need new gas tanks? 2. Use the Poisson Distribution Formula to find the indicated probability: Last winter, the number of potholes that appeared on a 9.0-mile stretch of a particular road followed a Poisson distribution with a mean of...
In a particular location, earthquakes occur according to a Poisson process, at an average rate of...
In a particular location, earthquakes occur according to a Poisson process, at an average rate of 0.25 earthquakes per week. Suppose we observe this location for a year (52 weeks). What is the probability that we will observe exactly the expected number of earthquakes? Select one: a. 0.77 b. 0.11 c. 0.43 d. 0.23 e. 0.57
The number of tickets issued by a meter reader for parking-meter violations can be modeled by...
The number of tickets issued by a meter reader for parking-meter violations can be modeled by a Poisson process with a rate parameter of five per hour. What is the probability that exactly three tickets are given out during a particular hour? Find the mean and standard deviation of this distribution. P(X=3) = 0.1404 Mean = 5 Standard deviation = 2.2361 UNANSWERED: What is the probability that exactly 10 tickets are given out during a particular 3-hour period?
A machine in a laundromat breaks down an average of 3 times per month. Using the...
A machine in a laundromat breaks down an average of 3 times per month. Using the Poisson distribution, find: a) The probability that there are exactly four breakdowns in a month. b)The probability that the number of breakdowns in a month is no more than 3.
1. The number of traffic accidents that occur on a particular stretch of road during a...
1. The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 7.9. Find the probability of observing exactly five accidents on this stretch of road next month. a. 0.0951 b. 1.7278 c. 0.1867 d. 0.1027 2. On average 10% of passengers who have a booking fail to turn up for their flights. In a sample of 8 passengers who booked a particular flight, what is the...
4. Deaths in a small city occur at a rate of 5 per week and are...
4. Deaths in a small city occur at a rate of 5 per week and are known to follow a Poisson distribution. a. What is the expected number of deaths in a 3-day period? b. What is the probability no one dies in a 3-day period? c. What is the probability that at least 250 people die in 52 weeks? d. What is the probability that number of deaths in a 3-day period is less than µ + σ?
15) The number of traffic accidents that occur on a particular stretch of road during a...
15) The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 8.5. Find the probability that exactly four accidents will occur on this stretch of road each of the next two months. A) 0.044255                            B) 0.088510                            C) 0.001958                            D) 0.000144 27) A machine is set to pump cleanser into a process at the rate of 10 gallons per minute. Upon inspection, it is...
The number of people arriving for treatment at an emergency room can be modeled by a...
The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of five per hour. By using Poisson Distributions. Find: (i) What is the probability that exactly four arrivals occur during a particular hour? (ii) What is the probability that at least four people arrive during a particular hour? (iii) What is the probability that at least one person arrive during a particular minute? (iv) How many people do...
The number of hits to a website follows a Poisson process. Hits occur at the rate...
The number of hits to a website follows a Poisson process. Hits occur at the rate of 1.8 per minute between​ 7:00 P.M. and 9​:00 P.M. Given below are three scenarios for the number of hits to the website. Compute the probability of each scenario between 7 : 43 P.M. and 7​:48 P.M. Interpret each result. ​(a) exactly eight ​( b) fewer than eight ​ (c) at least eight ​ (a)​ P(8​) =______ ​(Round to four decimal places as​ needed.)...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT