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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According to CTIA, 41% of all U.S. households are wireless-only households (no landline). Choose four households at random. A. What is the probability that at least two will be wireless-only? B. What is the probability that none of them will be wireless-only? C. What is the probability that least 1 of them will be wireless-only? D. Find the mean and standard deviation for the number of households that are wireless-only.
The quality control manager of Marilyn's biscuits is inspecting a batch of chocolate-chip biscuits that has just been baked. If the production process is in control, the mean number of chip parts per biscuit is 7.3. Complete parts (a) through (d). a. What is the probability that in any particular biscuit being inspected less than five chip parts will be found? The probability that any particular biscuit has less than five chip parts is (Round to four decimal places as needed.) b. What is the probability that in any particular biscuit being inspected exactly five chip parts will be found? The probability that any particular biscuit has exactly five chip parts is. (Round to four decimal places as needed.) c. What is the probability that in any particular biscuit being inspected five or more chip parts will be found? The probability that any particular biscuit has five or more chip parts is (Round to four decimal places as needed.) d. What is the probability that in any particular biscuit…
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?
4. The average salary for first-year teachers is $27,989. Assume the distribution is approximately normal with standard deviation $3250. a. What is the probability that a randomly selected first-year teacher makes between $20,000 and $30,000 each year? b. What is the probability that a randomly selected first-year teacher has a salary less than $20,000?
According to a recent survey, 78% of web users share their password with others. Consider a random selection of 45 users and denote the proportion of them sharing their password as p. a. Calculate the mean and the standard error for p. b. Describe the sampling distribution of p and draw a graph of this probability distribution with its mean and standard deviation. c. What is the probability that less than 90% of them are sharing their password with others? d. What is the probability that more than 60% of them are sharing their password with others?
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?
2. The number of shots on goal in an amateur hockey league's games is normally distributed, with a mean of 56.3 and a standard deviation of 8.1 shots. a) In what percent of the games will there be fewer than 40 shots on goal? b) In what percent of the games will there be between 50 and 60 shots on goal? c) What is the probability that a game will have more than 66 shots?
4. A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken. a. What is the distribution for the weights of one 25-pound lifting weight? What is the mean and standard deviation? b. What is the distribution for the mean weight of 100 25-pound lifting weights? c. Find the probability that the mean actual weight for the 100 weights is less than 24.9. 1 I
1.Calculate the probability of the height being less than 300, if the distribution of height was normal. Use the mean and standard deviations 2.Generate a graph to describe the distribution of height and insert it below. Would you think that the assumption that height was normal is accurate? Why or why not? Are speed and height associated? Why or why not? Generate a graph or table that supports.

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