4-87. Hits to a high-volume Web site are assumed to follow a Poisson distribution with a...
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...
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 1.8 per minute between 7:00 P.M. and 12:00 P.M. Given that x hits to the Web site between 9: 46 P.M. and 9:51 P.M 25. Compute the probability of x is fewer than seven. 26. Compute the probability of x is more than seven For the past 108 years, a certain state suffered 23 direct hits from major (category 3 to 5)...
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...
PROBLEM 2 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.
Use the Poisson Distribution to find the indicated probability. 6) The town of Fastville has been experiencing a mean of 59.4 car accidents per year. Find the probability that on a given day the number of car accidents in Fastville is 3. (Assume 365 days in a year.) rovide an appropriate response. 7) Find the area under the standard normal curve to the right of z -1. 8) For the standard normal curve, find the z-score that corresponds to the...
4 0.0256 Find the indicated probability. 5) A multiple choice test has 8 questions each of which has 4 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly? Use the Poisson Distribution to find the indicated probability. 6) The town of Fastville has been experiencing a mean of 59.4 car accidents per year. Find the probability...
2. A fire station logs the number of callouts occuring each day for a year and tabulates the results: O < c(c0-8, c1-12, c2-36, c3-54 , c4-67 , c5-66, с7-37, c8-23, с9-10 , с10-11) c6-41, This means that on 8 days there were zero callouts, on 12 days there was one callout, on 36 days there were two callouts, and so on up to 11 days when there were 10 callouts. We wish to test the hypothesis that the number...
please solve all these questions 4 Customers who are registered on a corporate Web site are summarized by the type of shipping contract they use and the number of orders in the previous month. The number of customers in each category are shown in the following table Shipping Contract Express Standard No orders One order More than one order Total Total 25 15 40 65 44 109 44 20 64 134 79 213 Suppose that three customers are selected randomly,...