Suppose an author makes on average one typographical error in every 3 pages he writes. If...
Suppose an author makes on average one typographical error in every 3 pages he writes. If the number of typos in his next, 300-page book follows a Poisson process, what is approximately the probability that there will be more than 115 typos in this book?
Homework Answers
The given problem is a practical situation of Normal approximation to Poisson distribution to get the required probability.
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Suppose an author makes on average one typographical error in
every 3 pages he writes. If...
A writer makes on average one typographical error every page. The writer has landed a 3-page...
A writer makes on average one typographical error every page. The writer has landed a 3-page article in an important magazine. If the magazine editor finds any typographical errors, they probably will not ask the writer for any more material. What is the probability that the reporter made no typographical errors for the 3-page article? Use the Poisson distribution and round answer to 4 decimal places.
Suppose that, on average, 2 people in 1000 makes a numerical error in preparing his or...
Suppose that, on average, 2 people in 1000 makes a numerical error in preparing his or her income tax return. If 4000 returns are selected at random and examined, find the probability that 7, 8, or 9 of them contain an error. Click here to view page 1 of the table of Poisson probability sums. Click here to view page 2 of the table of Poisson probability sums. . The probability that 7, 8, or 9 income tax returns contain...
On average, a textbook author makes 2.5 word-processing errors per page on the first draft of...
On average, a textbook author makes 2.5 word-processing errors per page on the first draft of her textbook. (a) What is the probability that on the next page she will make 3 or more errors? (b) What is the probability that a randomly selected page is error free?
A typist makes an average of 5 typo errors per page that she types. If the...
A typist makes an average of 5 typo errors per page that she types. If the number of errors per each typed page can be modeled according to the Poisson distribution, what is the probability that she will make more than 3 typo errors in the next page?
On average, 10 patients visit a doctor’s surgery every hour. What is the probability that in...
On average, 10 patients visit a doctor’s surgery every hour. What is the probability that in the next 15 minutes, more than 1 patient will visit the surgery? Assuming the number of patients visiting a doctor’s surgery follows a Poisson distribution. a. 0.713 b. 0.918 c. 0.082 d. 0.205
A customer support center for a computer manufacturer receives an average of 2.7 phone calls every...
A customer support center for a computer manufacturer receives an average of 2.7 phone calls every five minutes. Assume the number of calls received follows the Poisson distribution. a. What is the probability that no calls will arrive during the next five minutes? b. What is the probability that 3 or more calls will arrive during the next five minutes? c. What is the probability that 3 calls will arrive during the next ten minutes? d. What is the probability...
Suppose traffic accidents at a road intersection occur once every 7 days. It can be assumed...
Suppose traffic accidents at a road intersection occur once every 7 days. It can be assumed there is no more than 1 accident occurring at this intersection simultaneously, and at this intersection accidents can occur at any time. Also, an accident is not due to other accidents. (What type of distribution is this i.e. Gaussian, Poisson, etc.?) What is the probability that there are 3 accidents during the next 15 days at the intersection? Calculate by hand. What is the...
3. A customer support center for Bell Computer Company (BMC) receives an average of 2.5 phone...
3. A customer support center for Bell Computer Company (BMC) receives an average of 2.5 phone calls every 5 minutes. Assume that the number of calls received follows Poisson distribution with λ = 2.5 in answering the following questions What is the probability that no calls will arrive during the next five minutes? What is the probability that 5 calls will arrive during the next 5 minutes? What is the probability that at least 3 calls will arrive during the...
please show work 8. Suppose that a website receives a hit every 2 minutes on average....
please show work
8. Suppose that a website receives a hit every 2 minutes on average. a) Find the probability the website receives 3 hits in 2 minutes. Show all steps and find an answer rounded off to 2 decimal places. he website receives 8 or , hits in 10 minutes. Show all steps and find an answer rounded off to 2 decimal places c) Find the probability the website receives more than 4 hits in 6 minutes. You do...
Suppose the number of passengers arriving at an airline help desk follows a Poisson distribution. Passengers...
Suppose the number of passengers arriving at an airline help desk follows a Poisson distribution. Passengers arrive at the desk on average every 10 minutes. Answer the following: Enter your final answers in the boxes below. Show ALL working by uploading your handwritten working for this question to Laulima Dropbox within 15 minutes of completing your exam. Correct answers without working shown will not receive full credit. Note that writing Excel functions does NOT qualify as showing working. a) (2)...
Suppose that, on average, 2 people in 1000 makes a numerical error in preparing his or her income tax return. If 4000 returns are selected at random and examined, find the probability that 7, 8, or 9 of them contain an error. Click here to view page 1 of the table of Poisson probability sums. Click here to view page 2 of the table of Poisson probability sums. . The probability that 7, 8, or 9 income tax returns contain...
On average, a textbook author makes 2.5 word-processing errors per page on the first draft of her textbook. (a) What is the probability that on the next page she will make 3 or more errors? (b) What is the probability that a randomly selected page is error free?
please show work
8. Suppose that a website receives a hit every 2 minutes on average. a) Find the probability the website receives 3 hits in 2 minutes. Show all steps and find an answer rounded off to 2 decimal places. he website receives 8 or , hits in 10 minutes. Show all steps and find an answer rounded off to 2 decimal places c) Find the probability the website receives more than 4 hits in 6 minutes. You do...
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