A person arrives at the side of a single lane, one way street as a car passes by. Consider this time astime 0. There is no traffic lights and no pedestrian lanes in the nearby area. He stands there watchingcars pass by. The number of cars to pass by within a period of time cane be modeled using a poisondistribution. Suppose the cars pass by the person at a rate of 4.5 cars per minute. Assume that thecars pass by instantaneously.what is the probability that no cars pass by him within a 2 minute windowb) if the person had to guess how many cars would pass by in the next five minutes, what numbershould he guess? Why?c) what is the distribution for the time until the first car passes by him(time is continuous). What is theexpected time until the first car passes by him?

It is required to find the probability that no cars pass by within a 2-minute period, the number of…

Answered: A person arrives at the side of a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Solve question 11 for part D only.
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Otitis media is a disease that occurs frequently in the firstfew years of life and is one of the most common reasonsfor physician visits after the routine checkup. A study wasconducted to assess the frequency of otitis media in thegeneral population in the first year of life. Table 4.15 givesthe number of infants of 2500 infants who were first seen atbirth who remained disease-free by the end of the ith monthof life, i = 0, 1, . . . , 12. (Assume no infants have been lostto follow-up.) Disease-free infants ati the end of month i0 25001 24252 23753 23004 21805 20006 18757 17008 15009 130010 125011 122512 1200 Suppose an “otitis-prone family” is defined asone in which at least three siblings of five develop otitis media in the first 6 months of life. What proportionof five-sibling families is otitis prone if we assume thedisease occurs independently for different siblings in afamily?
One of the factors that determines the degree of risk a pesticide poses to human health is the rate at which the pesticide is absorbed into skin after contact. An important question is whether the amount in the skin continues to increase with the length of the contact, or whether it increases for only a short time before leveling off. To investigate this, measured amounts of a certain pesticide were applied to 20 samples of rat skin. Four skins were analyzed at each of the time intervals 1 , 2 , 4 , 10 , and 24 hours. The amounts of the chemical (in micrograms) that were in the skin are given in the following table. Duration Amounts Absorbed 1 1.3 1.4 1.3 2.1 2 1.6 2.0 1.3 2.0 4 1.9 1.6 2.1 1.7 10 2.0 2.1 2.0 1.7 24 2.4 2.2 2.6 2.2 Can you conclude that the amount in the skin varies with time? Use the =α0.001 level of…
Garcia's Garage desires to create some colorful charts and graphs to illustrate how reliably its mechanics "get under the hood and fix the problem." The historic average for the proportion of customers that return for the same repair within the 30-day warranty period is 0.11. Each month, Garcia tracks 130 customers to see whether they return for warranty repairs. The results are plotted as a proportion to report progress toward the goal. If the control limits are to be set at two standard deviations on either side of the goal, determine the control limits for this chart. In March, 8 of the 130 customers in the sample group returned for warranty repairs. Is the repair process in control? TheUCLp equals ? and the LCLp equals ? (Enter your responses rounded to three decimal places.)
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