Question

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.

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
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
The number of spam emails received each day follows a Poisson distribution with a mean of...
The number of spam emails received each day follows a Poisson distribution with a mean of 50. Approximate the following probabilities. Apply the ±½ correction factor and round value of standard normal random variable to 2 decimal places. Round your answer to four decimal places (e.g. 98.7654). (a) More than 50 and less than 60 spam emails in a day. (b) At least 50 spam emails in a day. (c) Less than 50 spam emails in a day. (d) Approximate...
The number of flaws per square yard in a type of carpet material varies with mean...
The number of flaws per square yard in a type of carpet material varies with mean 1.3 flaws per square yard and standard deviation 1 flaws per square yard. This population distribution cannot be normal, because a count takes only whole-number values. An inspector studies 167 square yards of the material, records the number of flaws found in each square yard, and calculates x, the mean number of flaws per square yard inspected. Use the central limit theorem to find...
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 2- minute 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...
A supermarket has three entrance doors. It is assumed that the number of people who come...
A supermarket has three entrance doors. It is assumed that the number of people who come daily for each of the doors are independent and follow a Poisson distribution of means 300, 150 and 50, respectively. a) What is the distribution of the total number of people who enter at the supermarket daily? b) What is the probability that in 200 days the influx exceeds the 40260?
Question: Suppose that the number of errors in one page of local newspaper follows the Poisson...
Question: Suppose that the number of errors in one page of local newspaper follows the Poisson distribution with an average of 4. A) What is the probability that the sports section consisting of 4 pages will have at least 13 errors? B) What is the probability that the local news section consisting of 5 pages will have no more than 17 errors? C) What is the probability that that there will be between 10 and 18 errors in the main...
Topic: Poisson Probability Distribution The Poisson Distribution is a discrete probability distribution where the number of...
Topic: Poisson Probability Distribution The Poisson Distribution is a discrete probability distribution where the number of occurrences in one interval (time or area) is independent of the number of occurrences in other intervals. April Showers bring May Flowers!! Research the "Average Amount of Days of Precipitation in April" for a city of your choice. Introduce Introduce the City and State. Let us know a fun fact! Tell us the average number of days of precipitation in that city for the...
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...
Suppose that the number of eggs that a hen lays follows the Poisson distribution with parameter...
Suppose that the number of eggs that a hen lays follows the Poisson distribution with parameter λ = 2. Assume further that each of the eggs hatches with probability p = 0.8, and different eggs hatch independently. Let X denote the total number of survivors. (i) What is the distribution of X? (ii) What is the probability that there is an even number of survivors? (iii) Compute the probability mass function of the random variable sin(πX/2) and its expectation.
Topic: Poisson Probability Distribution The Poisson Distribution is a discrete probability distribution where the number of...
Topic: Poisson Probability Distribution The Poisson Distribution is a discrete probability distribution where the number of occurrences in one interval (time or area) is independent of the number of occurrences in other intervals. April Showers bring May Flowers!! Research the "Average Amount of Days of Precipitation in April" for a city of your choice. In your initial post, Introduce Introduce the City and State. Let us know a fun fact! Tell us the average number of days of precipitation in...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT