Use the information below to answer Question 12 and Question 13.People arrive at a checkout in a supermarket randomly, and at a constant mean rate of 0.5 per minute.Assume the arrival times follow a Poisson distribution. Find the probability that exactly 3 people arrive atthe checkout during a 5-minute period.A. 0.5438B. 0.4562C. 0.2138D. 0.7576Question 13Find the probability that at least 2 people will arrive at the checkout in a 2-minute interval.A. 0.1839B. 0.2642C. 0.7358D. 0.0803

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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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The probability that a car will have a flat tire while driving through a certain tunnel is 0.00005. Use the Poisson distribution to approximate the probability that among 14,000 cars passing through this tunnel, exactly two will have a flat tire. Round your answer to four decimal places. OA. 0.1947 B. 0.1703 OC. 0.1217 OD. 0.8783 OE. 0.1460
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Suppose that the population of middle-school children has a mean of 350 on a reading test and σ = 50. Assume normality. What is the probability that a mean will be greater than 370 with a sample of 25 students? Leave the probability in decimal form (do not convert to percentage). Round to the nearest ten thousandth. (4 decimal places)
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Use the geometric distribution to calculate the following probabilities. a.Find the probability that the first success occurs on the third trial when ?=0.3p=0.3. b.Find the probability that the first success occurs on the fifth trial when ?=0.3p=0.3. c.Find the probability that the first success occurs on the third trial or later when ?=0.3p=0.3. d.Find the probability that the first success occurs on or before the third trial ?=0.3p=0.3. e.Find the probability that the first success occurs on the second or third trial when ?=0.3p=0.3.
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You have a uniform distribution whose lowest value is 7 and whose highest value is 15. Find the probability that a randomly selected number from this distribution will be between 9.3 and 10.6.
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.
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