The number of hits to a Web site follows a Poisson process. Hits occur at the...
The number of hits to a Web site follows a Poisson process. Hits occur at the rate of 0.9 per minute between 7:00 P.M. and 10:00 P.M. Given below are three scenarios for the number of hits to the Web site. Compute the probability of each scenario between 8:12 P.M. and 8:21 P.M. (a) exactly four. (b) fewer than four. (c) at least four.
The number of hits to a Web site follows a Poisson process. Hits occur at the rate of 1.0 per minute between 7:00 P.M. and 12:00 P.M. Given below are three scenarios for the number of hits to the Web site. Compute the probability of each scenario between 9:10 P.M. and 9:13 P.M. and interpret the results. (a) exactly four hits (b) fewer than four hits (c) at least four hits (a) P(4) = (Round to four decimal places as...
2. The number of hits on a popular Web page follows a Poisson process with an arrival rate of 5 per minute. One begins observation at exactly noon tomorrow. Let X(1) be the number of hits on the webpage by time t. What is the distribution of the number of hits in the first minute? Give the name of the distribution and the value(s) of parameter(s). What is the probability of 4 or fewer hits in the first minute? What...
For the past 102 years, a certain state suffered 25 direct hits from major (category 3 to 5) hurricanes. Assume that this was typical and the number of hits per year follows a Poisson distribution. Complete parts (a) through (d). (a) What is the probability that the state will not be hit by any major hurricanes in a single year? The probability is nothing. (Round to four decimal places as needed.) (b) What is the probability that the state will...
4-87. Hits to a high-volume Web site are assumed to follow a Poisson distribution with a mean of 10,000 per day. Approxi- mate each of the following: (a) Probability of more than 20,000 hits in a day (b) Probability of less than 9800 hits in a day (c) Value such that the probability that the number of hits in a day exceeds the value is 0.01 (d) Expected number of days in a year (365 days) that exceed 10.200 hits....
The number of major hurricanes hitting the coast of Florida annually follows a Poisson distribution with a mean of 0.80. What is the probability that two or three major hurricanes will hit the Florida coast in 2019?
e number of views of a page on a Web site follows a Poisson per minu (a) Find the probability of no views in 2 minutes, provided that A 3. (b) Find the probability of less than 3 views in 5 minutes, provided that 2 (c) Find λ if you know that the probability of precisely 3 views in a minute is equal to 0.18044.
Historically, the number of hurricanes hitting Boca Raton each year follows a Poisson distribution with a mean of 1.1. What is the probability that 3 or more hurricanes hit the town in a year?
4) The number of hurricanes which hit the USA each year is Poisson with parameter 4. What is the probability that next year at least 3 hurricanes will hit the USA?
Suppose that the number of hurricanes in a certain region occur in accordance with a Poisson process with rate of 0.1 per month. (a) What is the probability that the next hurricane will occur in less than two years? (b) What is the probability that at least nine of the next ten years has no hurricanes?