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
The average number of classic comic books sold per week at your store is 28. What is the probability that over the next 3 days, no more than 10 classic comic books are sold? (Assume a Poisson Distribution) 2424 6528 .7576 O.1048 O.3472
39.6% of consumers believe that cash will be obsolete in the next 20 years. Assume that 8 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. The probability is. (Round to three decimal places as needed.)
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