A truck driver makes an average of 10 deliveries in 4 hours. What is the probability that the drivermakes no greater than 12 deliveries in a 4-hour time interval? (Assume a Poisson distribution)O .79162084.6968.5428.3032

Answered: A truck driver makes an average of 10…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.8 per year. a. Find the probability that, in a year, there will be 6 hurricanes. b. In a 45-year period, how many years are expected to have 6 ��hurricanes? c. How does the result from part (b) compare to a recent period of 45 years in which 5 years had 6 hurricanes? Does the Poisson distribution work well here?
the number of hits to a web site follows a poisson process. Hits occur at the rate of 1.2 per minute between 7:00 pm and 10:00 pm. Given below are three scenarios for the number of hits to the web site. compute the probability of each scenario between 8:48 pm and 8:54 pm and interpret the results. a. exactly six hits b. fewer than six hits c. at least six hits
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The number of hits to a website follows a Poisson process. Hits occur at the rate of 6.8 per minute between 7:00 P.M. and 11:00 P.M. Given below are three scenarios for the number of hits to the website. Compute the probability of each scenario between 10:13 P.M. and 10:14 P.M. Interpret each result. (a) exactly seven (b) fewer than seven (c) at least seven ..... (a) P(7) = (Round to four decimal places as needed.) On about of every 100 time intervals between 10:13 P.M. and 10:14 P.M, the website will receive hit(s). (Round to the nearest whole number as needed.) (b) P(x <7)=| (Round to four decimal places as needed.) On about of every 100 time intervals between 10:13 P.M. and 10:14 P.M, the website will receive hit(s). (Round to the nearest whole number as needed.) (c) P(x27) = (Round to four decimal places as needed.) On about of every 100 time intervals between 10:13 P.M. and 10:14 P.M, the website will receive hit(s). (Round to the nearest whole number as needed.) Time Remaining:…
Imperfections in optical cable follow a Poisson process with a mean of 25 imperfections per 100 meters of cable. A. What is the probabilitythat a10-meter length of cable contains exactly 3 imperfections? B. How long must a cable be so that the probability it has no imperfections is 0.5?
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A truck driver makes an average of 10 deliveries in 4 hours. What is the probability that the driver makes no greater than 12 deliveries in a 4-hour time interval? (Assume a Poisson distribution) O.7916 O2084 .6968 O.5428 O.3032