The number of errors in a sequence follows a Poisson distribution. The average number of errors in 50 members of the sequence is 1.2.
(a) What is the probability of exactly three flaws in 150 members of the sequence?
(b) What is the probability of exactly one flaw in the first 50 members of the sequence and exactly one flaw in the second 50 members of the sequence? Since this is a Poisson distribution the two parts of the sequences are independent.
The number of errors in a sequence follows a Poisson distribution. The average number of errors...
The number of visitors to a webserver per minute follows a Poisson distribution. If the average number of visitors per minute is 4, what is the probability that: (i) There are two or fewer visitors in one minute? (2 points) (ii) There are exactly two visitors in 30 seconds? (2 points)
The number of customers that enter a bank follows a Poisson distribution with an average of 30 customers per hour. What is the probability that exactly 3 customers would arrive during a 12 minute period?
(3 markah/marks) d) Bilangan kecacatan dalam kabel gentian optik mempunyai taburan Poisson. Purata bilangan kelemahan dalam 50m kabel adalah 1.2. The number of flaws in a fibre optic cable follows a Poisson distribution. The average number of flaws in 50m of cable is 1.2 ) Apakah kebarangkalian hanya ada tiga kecacatan dalam kabel 150m? What is the probability of exactly three flaws in 150m of cable? (1 markah/mark) i) Apakah kebarangkalian sekurang-kurangnya dua kecacatan dalam kabel 100m? What is the...
The number of visits to a website follows a poisson distribution with an average of 90 per hour. What is the probability that there will be at least 2 visits in one minute? What is the probability that the time between successive visits will be less than 0.5 minutes?
Q1) The average number of selling coffee per day is 3.7 and follows the Poisson distribution. Calculate the following : The standard deviation of this distribution : ? The probability of exactly 5 coffee will be sold tomorrow : ? The mean for this distribution : ? ـــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ please solve all thease short Thank you
10) Based on past experience, it is assumed that the number of flaws per foot in rolls of grade 2 newsprint paper follows a Poisson distribution with an average of one flaw per 4 feet of paper (0.25 flaw per foot). What is the probability that in a: a) 4-foot roll there will be at least two flaws? b) 32-foot roll there will be at least eight flaws? c) 100-foot roll there will be at least four but no more...
6. A certain typing agency employs 3 typists. The average number of errors per article is 2.2 when typed by the first typist, 2.7 when typed by the second, and 3.1 when typed by the third. If your article is equally likely to be typed by any of the three typists, approximate the probability that it will have no errors. Again assume that for each typist the number of errors follows a Poisson distribution.
Flaws along a magnetic tape follow a Poisson distribution with a mean of 0.2 flaw per meter. Let X denote the distance between two successive flaws. (a) What is the mean of X? (b) What is the probability that there are no flaws in 10 consecutive meters of tape? (c) Does your answer to part (b) change is the 10 meters are not consecutive? (d) How many meters of tape need to be inspected so that the probability that at...
Consider a Poisson probability distribution in a process with an average of 3 flaws every 100 feet. Find the probability of a. no flaws in 100 feet b. 2 flaws in 100 feet c. 1 flaws in 150 feet d. 3 or 4 flaws in 150 feet Please show process.
Assume that the number of network errors experienced in a day on a local area network (LAN) is distributed as a Poisson random variable. The mean number of network errors experienced in a day is 2.5. Complete parts (a) through (d) below. a. What is the probability that in any given day zero network errors will occur?b. What is the probability that in any given day, exactly one network error will occur?c. What is the probability that in any given day, two or more...