Suppose that the City of Chicago is interested in potential revenues if they introducea tolling station near O'Hare. Further suppose that the average time between cars isonly 2.5 seconds; what is the likelihood that the next car comes in more than 2.2seconds? Round your answer to two decimal places.

Here the given information is Suppose that the City of Chicago is interested in potential revenues…

Answered: Suppose that the City of Chicago is…

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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A car company conducts crash tests of its new airbag system to evaluate its safety. One hundred cars are run into a solid concrete barrier at a speed of 35 miles per hour, and the chest compression of a crash test dummy is measured each time. They hope that the average compression if the test were repeated over and over (which we could think of as the population) would be about 2 inches, corresponding to an injury that would be painful but not fatal. In the hundred tests, the average chest compression in the crash test dummies was 2.1 inches, with an SD of 0.2 inches.(a) State the null and alternative hypotheses in terms of the problem.(b) What kind of box model will we use for this problem? A 0-1 box, or a box with other values on the tickets?(c) State the null and alternative hypotheses in terms of the box model (d) Compute the z test statistic and the p-value, using the sample average as your statistic as you compute z (e) What do you conclude?
In a certain year, it was estimated that 1,000,000 of the 307,000,000 residents of the United States are HIV-positive. (HIV is the virus that is believed to cause AIDS.) The Repeatedly Reactive Immunoassay (RRIA) diagnostic test correctly diagnoses the presence of AIDS/HIV 99.7% of the time and correctly diagnoses its absence 98.5% of the time. (Round your answers to four decimal places.) (a) Find the probability that a person whose test results are positive actually has HIV.(b) Find the probability that a person whose test results are negative does not have HIV.(c) Find the probability that a person whose test results are positive does not have HIV.(d) Find the probability that a person whose test results are negative actually has HIV.(e) Which of the probabilities would you be interested in if you or someone close to you tested positive? the probability that a person whose test results are positive actually has HIVthe probability that a person whose test results are negative does not…
You want to conduct a study on the proportion of Penn State students who miss class when it is raining. Suppose here is the data you collect for students who live on-campus versus students who live off-campus: Never Miss Sometimes Miss Always Miss On-Campus 20 12 13 Off-Campus 45 14 22 a. For on-campus students (only), estimate the true difference in proportions for those who never miss class versus those who always miss class, when it is raining. Place a bound on the error of estimation. b. Estimate the true difference between the proportions of on-campus students who always miss class versus the proportion of off-campus students who always miss class, when it is raining. Place a bound on the error of estimation.
Suppose that the result of a public opinion poll shows that just 10% of people would be willing to give up their cell phones for 1 week in exchange for $100. How many people would need to be surveyed in order to have a margin of error of ±2%?
Please do not use Excel to find the answers
Suppose that the average number of miles driven by a student is 15,000 and the standard error is 5000 miles. Find the interval of miles within which 99% of the drivers fall.
Suppose a man invested $350 at the end of 1900 in each of three funds that tracked the averages of stocks, bonds, and cash, respectively. Assuming that his investments grew at the rates given in the table to the right, approximately how much would each investment have been worth at the end of 2009? His investment in the fund tracking stocks would be worth approximately $. (Do not round until the final answer. Then round to two decimal places as needed.) His investment in the fund tracking bonds would be worth approximately $. (Do not round until the final answer. Then round to tivo decimal places as needed.) His investment in the fund tracking cash would be worth approximately $ (Do not round until the final answer. Then round to two decimal places as needed.) Category Stocks Bonds Cash Average Annual Return 6.3% 1.7% 0.6%
Due to unavoidable wear and tear, the output from an aging packaging machine is expected to decrease by 2%, 5%, and 8% in each of the next three years, respectively. If the current output of the machine is 8,525 units per hour, what will be its output at the end of the three-year period? (Round your answer to the nearest whole number.) Output of the machine units per hour
Two varieties of corn are grown in 4 different locations. Each location provides a value in pounds for each variety.The table below lists the results. Find the standard error for the difference in the production of the two corn varieties to two decimal places. Variety 1 Variety 2 difference location 1 32.1 34.5 -2.4 location 2 30.6 32.6 -2.0 location 3 33.7 34.6 -0.9 location 4 29.7 31.6 -1.3 mean value 31.53 33.18 -1.65 standard deviation 1.76 1.72 0.68 1.23 0.75 0.34 0.98
A student pursuing a degree in English as a second language believes the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English. To test her claim she randomly selects 373 female factory workers and out of them 43 could not speak English. She then randomly selects 215 male factory workers and out of them 65 could not speak English. Test her claim at .=0.05 to see if she was right. The correct hypotheses are: H : PF Pu (claim) H : PF 2 PM HA: PF < Pr (claim) H : PF = PM HA: PF + PM (claim) Since the level of signficance s0.05 the critical value is-1.64s The test statistic is pound to 3 places) The pvalue is round to 3 places) The decision can be made to oreject H, odo not reject í, The final conclusion is that: There is enough evidence to reject the claim that the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English. There is…

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