Question

The number of accidents in a certain city is modeled by a Poisson random variable with...

The number of accidents in a certain city is modeled by a Poisson random variable with average rate of 10 accidents per day. Suppose that the number of accidents in different days are independent. Use the central limit theorem to find the probability that there will be more than 3800 accidents in a certain year. Assume that there are 365 days in a year

Homework Answers

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
Question 5. Suppose that the number of accidents in a city on a rainy day is...
Question 5. Suppose that the number of accidents in a city on a rainy day is a Poisson random variable with mean 8, on a cloudy day is a Poisson random variable with mean 5 and on a sunny day is a Poisson random variable with mean 2. If the probability that it will be rainy tomorrow is 0.4, the probability that it will be cloudy tomorrow is 0.3 and the probability that it will be sunny tomorrow is 0.3;...
The number of traffic accidents at a certain intersection is thought to be well modeled by...
The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson process with a mean of 3.5 accidents per year If no accidents have occurred within the last six months, what is the probability that an accident will occur within the next year?
There are an average of 7 automobile accidents involving serious personal injuries in the City of...
There are an average of 7 automobile accidents involving serious personal injuries in the City of Austin every day. The number of daily automobile accidents involving serious personal injuries in the City of Austin, X, is distributed as a Poisson random variable. a) What is the probability that there will be at least 15 automobile accidents involving serious personal injuries in the City of Austin tomorrow? ______ b) What is the probability that there will be at least 10 but...
The number of errors in each of 300 files has a Poisson distribution with 1.4 errors...
The number of errors in each of 300 files has a Poisson distribution with 1.4 errors per file on average. Assume the errors in different files are independent. Use the Central Limit Theorem to approximate the probability that the total number of errors exceeds 400.
8. The city of Fastville has been experiencing a mean of 73 car accidents per year....
8. The city of Fastville has been experiencing a mean of 73 car accidents per year. 1) Find the probability that on a given day the number of car accidents in Fastville is 2. (Assume 365 days in a year.) Round your answer to four decimal places. 2) Find the probability that on a given day the number of car accidents in Fastville is more than one. Round your answer to four decimal places. 3) Find the minimum and the...
The number of traffic accidents in a certain area follows a Poisson process with a rate...
The number of traffic accidents in a certain area follows a Poisson process with a rate of 1.5 per hour between 8:00 A.M. and 5:00 P.M. during the normal working hours in a working day. Compute the following probabilities. There will be no traffic accident between 11:30 AM to 12:00 PM. There will be more than 3 traffic accidents after 3:45 P.M. There will be in between 15 and 18 traffic accident during the normal working hours in a working...
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?
Number of visits to an emergency center is modeled as a Poisson process with average number...
Number of visits to an emergency center is modeled as a Poisson process with average number of arrivals being 6 per hour. What is the probability that it will take more than 15 minutes for the next two arrivals?
1. Given a poisson random variable, X = # of events that occur, where the average...
1. Given a poisson random variable, X = # of events that occur, where the average number of events in the sample unit (μ) is given on the right, determine the smallest critical value (critical value = c) for the random variable such that you have at least a 99% probability of finding c or fewer events.    μ = 4    2. Given a binomial random variable X where X = # of operations in a local hospital that...
Note: Use statistical tables when it is possible The number of accidents at an intersection follows...
Note: Use statistical tables when it is possible The number of accidents at an intersection follows Poisson distribution with an average of three accidents per day. Find (Round to THREE decimal places) 1. The probability of an accident-free day. 2. The probability that there is at most 14 accidents in five days. 3. The accepted number of accident-free days in January 4. The probability that there are four accident-free days in January Calculate \mu and \sigma 2 ? 5. Suppose...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT