Question

A large manufacturing plant has averaged seven “reportable accidents” per month. Suppose that accident counts over...

A large manufacturing plant has averaged seven “reportable accidents” per month. Suppose that accident counts over time follow a Poisson distribution with mean of 8 per month. What is the probability that the plant will have 100 or fewer accidents in a year? Group of answer choices 0.3549 0.6451 0.3182 0.6818 0.0367

Homework Answers

Answer #1

From the given information,

Mean for year is 8*12=96

Using Poisson probability calculator,

Hence,

P(X<=100)=0.6818

Which is required probability.

Dear student,
I am waiting for your feedback. I have given my 100% to solve your queries. If you are satisfied by my given answer. Can you please like it☺
  
Thank You!!!

Know the answer?
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
Similar Questions
The number of work-related injuries per month in a manufacturing plant is known to follow a...
The number of work-related injuries per month in a manufacturing plant is known to follow a Poisson distribution, with a mean of 3.5 work-related injuries a month. a. Write the appropriate Poisson probability function. b. What is the probability that in a given month, no work-related injuries occur? c. What is the probability that in a given month, at least two work-related injury occurs?.
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...
1)The annual number of industrial accidents occurring in a particular manufacturing plant is known to follow...
1)The annual number of industrial accidents occurring in a particular manufacturing plant is known to follow a Poisson distribution with mean 12. What is the probability of observing of observing exactly 12 accidents during the coming year? What is the probability of observing no more than 12 accidents during the coming year? What is the probability of observing at least 15 accidents during the coming year? What is the probability of observing between 10 and 15 accidents (including 10 and...
The number of work related injuries per month in a manufacturing plant is known to follow...
The number of work related injuries per month in a manufacturing plant is known to follow a poission with a mean of 2.5 work related injuries a month. A write the appropriate piossion probability function B what is the probability that in a given month, no work related injuries occur C what is the probability that in a given month,at least one work related injury occurs.
We write ? ∼ Poisson (?) if ? has the Poisson distribution with rate ? >...
We write ? ∼ Poisson (?) if ? has the Poisson distribution with rate ? > 0, that is, its p.m.f. is ?(?|?) = Poisson(?|?) = ? ^??^x /?! Assume a gamma distribution as the prior for ? where ?(?) = ? ^??(?) ? ^?-1e ^?? ?> 0 Use Bayes Rule to derive the posterior distribution ?(?|?). b. Let’s reconsider the car accidents example introduced in classed. Suppose that (X) the number of car accidents at a fixed point on...
A large manufacturing plant has analyzed the amount of time required to produce an electrical part...
A large manufacturing plant has analyzed the amount of time required to produce an electrical part and determined that the times follow a normal distribution with mean time μ = 45 hours. The production manager has developed a new procedure for producing the part. He believes that the new procedure will decrease the population mean amount of time required to produce the part. After training a group of production line workers, a random sample of 25 parts will be selected...
A maintenance worker in a large manufacturing plant knows that a filling machine breaks down on...
A maintenance worker in a large manufacturing plant knows that a filling machine breaks down on average 3 times per month. Assume these break downs occur randomly and independently of one another. a. If the random variable X is the number of times the machine breaks down, identify the distribution of X and state the value/s of its parameter/s b. Calculate (using the appropriate statistical tables) the probability there are less than three breakdowns in the next month. c. Calculate...
(Q24-Q27) An insurance company has gathered the information regarding the number of accidents reported per day...
(Q24-Q27) An insurance company has gathered the information regarding the number of accidents reported per day over a period of 100 days. The data can be found on the fourth sheet labeled “Accidents” in the “INFO1020 Final Exam DataFile.xlsx”. With the data, you are conducting a goodness-of-fit test to see whether the number of accidents per day can have a Poisson distribution. 24.What is the expected frequency of exactly 2 accidents per day? 25.What is the Chi-square test statistics? Round...
Suppose a large labour union wishes to estimate the mean number of hours per month a...
Suppose a large labour union wishes to estimate the mean number of hours per month a union member is absent from work. The union decides to sample n=61 of its members at random and monitor the working time of each of them for 1 month. At the end of the month, the total number of hours absent from work is recorded for each employee. The mean and standard deviation of the sample of workers are 7.18 hours and 3 hours...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT