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...

See similar textbooks

Similar questions

Solve question 11 for part D only.
What is indicated by a Pearson correlation of r = +1.00 between Xand Y? Each time X increases, there is a perfectly predictable increase in Y Every change in X causes a change in Y All of the other 3 choices occur with a correlation of +1.00. Every increase in X causes an increase in Y
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…
A pond initially contains 1M gal of water and an unknown amount of an undesirable chemical. Water containing 0.01 gram of this chemical per gallon flows into the pond at a rate of 300 gal/hr. The mixture flows out at the same rate, so the amount of water in the pond remains constant. Assume that the chemical is uniformly distributed throughout the pond. How many days elapsed when the amount of chemical in the pond became 2,300 grams from an amount of 100 grams? 40.2 days O 34.9 days O 29.6 days 38.7 days
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.)
The final question in the example is If the percentage of 16- to 19-year-olds not in school and not graduates reaches 22.5% in a similar city, what is the predicted rate of violent crimes per 1000 residents? (Round your answer to two decimal places.) violent crimes per 1000 residents
A patient is classified as having gestational diabetes if their average glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with μ=140+5 mg/dl and σ=5+1 mg/dl. Using the Central Limit Theorem, determine the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured: Once? n=5+2 times n=5+4 times Comment on the relationship between the probabilities observed in (a), (b), and (c). Explain, using concepts from lecture why this occurs and what it means in context.
Suppose a student is a carrier of the flu virus and returns to his isolated campus of 1000 students. If it is assumed that the ratio with which the virus spreads is proportional to the product of the number x of infected students by the number of uninfected students, determine the number of infected students after 6 days if it is also observed that after four days there are 50 sick students. Suppose also that no one leaves campus while the illness lasts
A set of x and y scores has Mx=4,SSx=10,My=5,SSy=40,SP=20.Which is the regress equation for predicting y from x?
A tank contains 500 gallons of water with 100 gallons of pollution dissolved in it. Polluted water containing 2 lb of sludge per gallon enters the tank at a rate of 4 gallons/hour. The solution is thoroughly mixed and drains from the tank at a rate of 5 gallon/hour. Find a formula for the concentration of pollutants at time t. Sketch the graph of the concentration over time (you are welcome to use a graphing calculator), clearly showing the valid domain for your solution.
The following table gives the millions of metric tons of carbon dioxide emissions in a certain country for selected years from 2010 and projected to 2012 2010 2012 2014 2016 336.5 363.5 398.1 Year CO, Emissions 2018 424.8 451.1 Year 2022 2024 2026 2028 2030 Co, Emissions 559.2 591.9 628.7 665.1 707.1 2020 2032 743.7 Using x as the number of years past 2010 and y as the millions of metric tons of carbon dioxide emissions, write the equation of the linear function that models these data. (Round all numerical values to two decimal places.) Hint: Let x 0 in 2010. y(x) =

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS