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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An industrial oil heater is tested by its ability to heat up a large room on a cold day and in particular, the rate at which it reaches a desired average temperature. The size of the room and the room temperature prior to switching on the heater were identified as two important factors of the rate at which the average room temperature increases. The experiment was replicated 3 times for each combination. The time (in minutes) till an average temperature increase of 10°C was measured is tabulated below: Factor B Large Classroom (200m2) Large Auditorium (400m2) (1) Treatment Combination (2) Factor A 7°C (1) 8,9,8 22,18,21 12°C (2) 9,10,12 19,29,25 Let factor A be the initial temperature and factor B be size of the room.
In Utah, it is illegal for a person to drive if their blood alcohol level (BAC) is higher than 0.05. For a typical male, their liver can decrease BAC by 0.015 per hour. If a typical male has a BAC of 0.08 at 6pm and consumes no more alcohol, what is his predicted BAC at 7:30pm?When do you predict a typical male in part a. will have a BAC of 0?If Peter had a BAC of 0.08 at 7pm, do you think he will be legal to drive at exactly 9:00pm? Explain your answer in 1-2 sentences
A population of Emotional Quotient scores with μ = 38 and σ = 6 is standardized to create a new population with μ = 50 and σ = 10. Find the new score for a given original score or the old score for a given new score. original score new score X = 26 ? ? X = 65
Researchers have created every possible "knockout" line in yeast. Each line has exactly one gene deleted and all the other genes present (Steinmetz et al. 2002). The growth rate—how fast the number of cells increases per hour—of each of these yeast lines has also been measured, expressed as a multiple of the growth rate of the wild type that has all the genes present. In other words, a growth rate greater than 11 means that a given knockout line grows faster than the wild type, whereas a growth rate less than 11 means it grows more slowly. The growth rate of a random sample of knockout lines is 0.86, 1.02, 1.02, 1.01, 1.02, 1, 0.99, 1.01, 0.91, 0.83, 1.01 What is the standard deviation and variance of growth rate for this sample?
A neuroscientist wants to know if physical exercise changes reaction speed in elderly people. A total of 14 older volunteer participants were found. One sample of n = 7 subjects received an exercise treatment, while the second sample (n = 7) of participants were given stretching lessons for the same amount of time per week. Reaction speed was tested on a computer program after six weeks of treatment. Reaction speed was measured in milliseconds. Data shown below. What is the type of statistical test you could use on these data? _____________________ Why this test? ___________________________________________________________ What is the I.V.? ___________________ What is the D.V.? ______________________ Use the data below to fill in the blanks to compute your tcalculated. stretch group exercise group nstretch = ____ dfstretch = _____ nexercise…
Consider a two component parallel system in which both components have times to failure and times to 0.0024 f/hr and µ1 = = 0.001 f /hr, 12 repair that are exponentially distributed. The data is 1, 0.003 r/hr and µ2 = 0.005 r/hr. Evaluate the reliability or probability of success for a mission of 1000 hr. (hint: form a history for each component using the data for failure rate and repair rate)
If the arrival and departure rates in an M/M/1 queue are 1/2 per minute and 2/3 per minute respectively, find the average waiting time of a customer in the queue.
Leo used an analog sensor to measure the temperature of his solar panels. After the experiment, he wants to process the data he obtained. Is he allowed to describe the data by using the measures of central tendency? No, because the data he gathered is qualitative in nature. Yes, because the data he gathered is quantitative in nature. No, because the data the gathered is quantitative in nature. Yes, because the data he gathered is qualitative in nature.
7 In a G/G/3 system with average service time equal to 6.9 minutes, average time in system equal to 25.1 minutes, what is the average wait in queue?
Suppose a system is made up of two components that function independently. The components are connected in parallel. One of the components lifetime in days can be expressed by an exponential distribution with A = 0.1. The second component has a lifetime that can be expressed as a lognormal distribution with u = 2.3 and o = 0.1. What is the reliability of the system at 11 days? .5579 .9454 .4421 .0545

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