The following data are the result of a historical study of the number of flaws found in a porcelain cup produced by a manufacturing firm. Usethese data and the associated probabilities to compute the expected number of flaws and the standard deviation of flaws.Flaws01234Probability0.4500.3000.1250.0870.038(Round the intermediate values and final answers to 3 decimal places, e.g. 0.215.)Expected number =Standard deviation =type your answer...type your answer... Binomial DistributionIn the past few years, outsourcing overseas has become more frequently used than ever before by U.S. companies. However, outsourcing is notwithout problems. A recent survey by Purchasing indicates that 20% of the companies that outsource overseas use a consultant. Suppose 15companies that outsource overseas are randomly selected.a. What is the probability that exactly four companies that outsource overseas use a consultant?b. What is the probability that more than eleven companies that outsource overseas use a consultant?c. What is the probability that none of the companies that outsource overseas use a consultant?d. What is the probability that between three and seven (inclusive) companies that outsource overseas use a consultant?Appendix A Tables*(Round intermediate values to 4 decimal places. Round your answer to 4 decimal places, e.g. 0.2153.)**(Round your answer to 3 decimal places when calculating using Table A.2, e.g. 0.215.)a. P(x = 4) =b. P(x > 11) =c. P(x = 0) =d. P(3 ≤x≤7) =type your answer...type your answer...type your answer...type your answer...

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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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Gas mileage of vehicles follows a normal curve. A Ford Escape claims to get 25 mpg highway, with a standard deviation of 1.6 mpg. A Ford Escape is selected at random. (a) What is the probability that it will get more than 28 mpg? 1b. Suppose the test scores among a set of first year nursing students are normally distributed with a mean of 500 and a standard deviation of 100. If a student nurse scores a 700, what would be her z-score?
Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is less than 8?
Suppose the heights of 18 year old men are approximately normally distributed, with mean 71 inches and standard deviation 5 inches. What is the probability that an 18 year old man selected at random is between 70 and 72 inches tall? if random sample of twenty-nine 18 year old men is selected, what is the probability that the mean height x is between 70 and 72 inches? compare your answers to parts a and b. Is the probability in part b much higher? Why
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 90 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 90 tons and standard deviation ? = 1.1 ton. (a) What is the probability that one car chosen at random will have less than 89.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 39 cars chosen at random will have a mean load weight x of less than 89.5 tons of coal? (Round your answer to four decimal places.)
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Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 62 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 62 tons and standard deviation ? = 0.5 ton. (a) What is the probability that one car chosen at random will have less than 61.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 45 cars chosen at random will have a mean load weight x of less than 61.5 tons of coal? (Round your answer to four decimal places.)(c) Suppose the weight of coal in one car was less than 61.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? YesNo Suppose the weight of coal in 45 cars selected at random had an average x of less than 61.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this…
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Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 74 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 74 tons and standard deviation ? = 1.9 ton. (a) What is the probability that one car chosen at random will have less than 73.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 50 cars chosen at random will have a mean load weight x of less than 73.5 tons of coal? (Round your answer to four decimal places.)
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Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is greater than 8.5?

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