The average number of traffic accidents on a certain section of highway is twoper week. Assume that the number of accidents follows a Poisson distribution withμ = 2.1. Find the probability of no accidents on this section of highway during a1-week period.2.Find the probability of at most three accidents on this section of highway duringa 2-week period.

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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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The average number of cavities that thirty-year-old Americans have had in their lifetimes is 8. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 13 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 11, 7, 6, 12, 8, 9, 10, 11, 10, 6, 8, 10, 10 What can be concluded at the αα = 0.10 level of significance? The null and alternative hypotheses would be: Please provide number H0:H0: mean = __?__ H1:H1: mean not equal to __?__ The test statistic t = __?__(please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.)
We are examining farmer production in marginal land. A sample of 100 farmers produce this crop with mean of 100 bushels per acre. Assume a normal distribution. Q1: What is the probability an individual farmer in this population produces 103 or less bushels of corn?Q2: What is the probability the mean bushels of corn produced is 103 or less bushels of corn?
The author of a book makes an average of 2 typing errors per page. Find the probability that a randomly selected page from the author's book will have 3 errors. Assume the number of errors per page has a Poisson distribution. Below ?e denotes Euler's number,?≅2.718.e≅2.718.
A surgery has a success rate of 90%. Suppose that the surgery is performed on threepatients Graph the probability distribution for X using a histogram.Find the mean of X.Find the variance and standard deviation of X.
Suppose that the commuting time on a particular train is uniformly distributed between 35 and 55 minutes. What is the standard deviation of the commuting time?
Suppose that the City of Chicago is interested in potential revenues if they introduce a tolling station near O'Hare. Further suppose that the average time between cars is only 3.0 seconds; what is the average value of the distribution?
Sixty-two percent of seniors attend a particular school in a school district. Assume 500 seniors within this school district are sampled. a. Can this distribution be approximated using the Normal model? Explain. b. Use the Normal approximation to estimate the probability that at least 290 senior students are enrolled at this particular school. c. Use the Normal model to estimate the probability that between 200 and 300 senior students who are sampled are enrolled at this particular school.
A random variable X forms a normally distributed data set with mean 94.2 and standard deviation 2.41 . Determine the probability that X is at most 94.2. (Express your final answer in 4 decimal places)
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
Using the data and your graphing calculator answer the questions that follow. This table represents the number of hours spent studying for a test and the scores earned. Test Score (%) Hours Studying 100 90 80 70 60 A) Which of these statements makes more sense? O The dependent variable is Hours Studying and the Independent variable is Test Score O The dependent variable is Test Score and the Independent variable is Hours Studying 50 1 3.5 B) Make a scatterplot of the data. 40 30 20 4 4.5 5.5 6 7 7.5 10 1 2 67 78 82 85 87 85 89 97 3 4 A 5 6 7 8 9
The number of goals scored at state college hockey games follows as poisson distribution with a mean of five goals per game. Find the probability that a randomly selected state college hockey game would have more than three goals
A distribution consists of three components with frequencies 45, 40 and 65, having the their mean 2, 2.5, and 2. Show that the mean of the combined distribution is 2.13 approximately.

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