Problem 8The number of surface flaws in plastic panels used in the interior of automobiles has a Poissondistribution with a mean of 0.05 flaws per square foot of plastic panel. Assume an automobileinterior contains ten square feet of plastic panel.a. What is the probability that there are no surface flaws in one auto's interior?b. If ten cars are sold to a rental company, what is the probability that nine or more of thecars have no surface flaws?

Let X be the number of surface flaws in plastic panels used in the interior of automobiles.Given…

Answered: The number of surface flaws in plastic…

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 sample of people who have attended a college football game at your university has a mean = 3.2 members in their family. The mode number of family members is 2 and the median number is 2.0. Based on this information: A) the distribution is left-skewed. B) the distribution is bell-shaped. C) the population mean exceeds 3.2. D) the distribution is right-skewed.
A county has been experiencing a mean of 33.8 motor vehicle deaths each year. Use the Poisson distribution to answer the following. a. Find the mean number of deaths per day. b. Find the probability that on a given day, there are more than 2 motor vehicle deaths. c. Is it unusual to have more than 2 motor vehicle deaths on the same day? Why or why not? a. The mean number of deaths per day is (Round to three decimal places as needed.)
b. What is the probability that fewer than four corporate officers were female? c. What is the probability that more than two corporate officers were female? d. What are the mean and standard deviation for this distribution?
1. The average number of acres burned by forest and range fires in a large New Mexico county is 4,255 acres per year, with a standard deviation of 744 acres. The distribution of the number of acres burned is normal. a.) What is the probability that between 2,540 and 4,190 acres will be burned in any given year? b.)What number of burnt acres corresponds to the 38th percentile?
4. TomTom, the producer of GPS devices, reported that the fastest drivers in the nation are in Mississippi. In Mississippi, interstate drivers average 70.1 miles per hour. Assume that the speed of cars traveling on Mississippi’s interstates follows the normal distribution with a standard deviation of 7.2 miles per hour. a. What is the probability that a randomly selected car on a Mississippi interstate is traveling 1. faster than 65 miles per hour? 2. slower than 72 miles per hour? 3. between 60 and 66 miles per hour? 4. between 78 and 85 miles per hour? b. Confirm the answers to part a with Excel. c. What average speed should I drive if I want to travel faster than 70% of the cars on the interstate?
4. The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations. What's the approximate probability that the average price for 16 gas stations is over $4.69? а. b. Find the probability that the average price for 30 gas stations is less than $4.55. C. Sketch graphs for a and b
A firm's marketing manager believes that total sales for the firm next year can be modeled using a normal distribution, with a mean of $2.5 million and a standard deviation of $300,000. What is the probability that the firm's sales will exceed the $3 million?
Suppose Michigan is favored by 17.5 points over Indiana. If you bet a “unit” on Indiana and Indiana loses by 17 or less, you win $10. If Indiana loses by 18 or more points, you lose $11. Note: Both Michigan and Indiana are NCAA Basketball teams. 1)Find the mean and standard deviation of your winnings on a single bet. Assume that there is a 0.5 probability that you will win your bet and a 0.5 probability that you will lose your bet.
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.
In examining the invoices issued by a company, an auditor finds that the dollar amounts of invoices have a mean of $1732 and a standard deviation of $298. what is the probability that for a sample of 45 invoices, the average invoice is greater than $1800?
1. The average number of milligrams (mg) of cholesterol in a cup of a certain brand of ice cream is 680 mg, and the standard deviation is 40 mg. assume the variable is normally distributed. a. If a cup of ice cream is selected, what is the probability that the cholesterol content will be more than 700 mg.

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