XPRESS FINAL ANSWERS IN 3 DECIMAL PLACES. Flaws occur in the interior of plastic for automobiles according to a Poisson distribution with a mean of 0.010 per panel. a. If 30 panels are inspected, what is the probability that there are no flaws? b. What is the expected number of panels that need to be inspected before a flaw is found? c. If 30 panels are inspected, what is the probability that the number of panels that have one or more flaws is less than or equal to 2?

XPRESS FINAL ANSWERS IN 3 DECIMAL PLACES. Flaws occur in the interior of plastic for automobiles according to a Poisson distribution with a mean of 0.010 per panel. a. If 30 panels are inspected, what is the probability that there are no flaws? b. What is the expected number of panels that need to be inspected before a flaw is found? c. If 30 panels are inspected, what is the probability that the number of panels that have one or more flaws is less than or equal to 2?

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 number of paint blisters produced by an automated plating process is Poisson distributed with a rate of 0.06 blisters per square meter. The process is about to be used to paint an item that measures 5 by 12m. what is the probability that the finished surface will have a. No blisters at all? b. Between five and eight blisters, inclusive? c. More than 2 blisters?
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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?
Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 10 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( b. If one car is randomly chosen, find the probability that it is traveling more than 79 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 83 and 86 mph. Round to 4 decimal places.
Seventy-five percent of the students applying to a university are accepted. Using the binomial probability tables, what is the probability that among the next 18 applicants d. Fifteen or more will be accepted? e. Determine the expected number of acceptances. f. Compute the standard deviation.
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Assume that the sales of Teri’s Specialty Cakes has historically followed a normal distribution, with an average of 250 cakes per month, and a standard deviation of 15 cakes.a. What is the probability that the sales for cakes will be no more than 285 over the next month?b. What is the probability that the sales for the cakes will be no more than 230 cakes over the next month?c. What is the probability that the sales for the cakes will be between 245 and 265 over the next month?d. What number of cake demand can Teri reasonably assume with a confidence level of 95%?For a, b, c, and d, please write out your work for at least one of these problems. For all problems, explain your answers and sketch a plot (similar to the handouts and text).
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