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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Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal distribution, and the three times are independent of one another. The mean values are 15, 20, and 30 min, respectively, and the standard deviations are 1, 2, and 1.4 min, respectively. What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component? (Round your answer to four decimal places.)You may need to use the appropriate table in the Appendix of Tables to answer this question.
A education.wiley.com E NWP Assessment Player UI Application ER P -/ 1 Question 14 of 25 10 12 14 16 p(x) 0.20 0.30 0.25 0.25 (a) Use the probability function given in the table to calculate the mean of the random variable. Enter the exact answer. eTextbook and Media Assistance Used Hint Assistance Used (b) Use the probability function given in the table to calculate the standard deviation of the random variable. Round your answer to three decimal places. eTextbook and Media Assistance Used Hint Assistance Used MacBook Air 80 888 F3 F4 F5 DD F7 F8 F9 F10 %23 & 3 4 E II * CO
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean u = 89 and standard deviation o = 27. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) n USE SALT (a) x is more than 60 (b) x is less than 110 (c) x is between 60 and 110 (d) x is greater than 125 (borderline diabetes starts at 125) Need Help? Watch It Read It
PART B: Analyze the table to determine if the relation is a function. Explain your answer. If the relation is a function, write the function rule. 3. y -3 4 -2 -1 6 7 Function: YES or NO Why? If yes, write the function rule 4. y 2 3 -1 4 -2 2 -3 Function: YES or NO Why? If yes, write the function rule
A Statistics class has 85 students. 48 of these are females and 37 are males. A random sample of 11 students in the class is selected. Let X = the number of the selected students who are female. a. What is the expected value of X? b. What is the standard deviation of X? c. What is the probability that X is within 2.0 standard deviations of its expected value? d. What is the probability that X = 1.5?
3. 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 between a 6 and a 9?
Someone claims to have developed a new lightbulb whose mean lifetime is 1800 hours with a standard deviation of 100 hours. Consider these to be your population parameters. One of these types of bulbs was selected at random. What is the probability that it will have a lifetime of less than 1770 hours? Question 5 options: The probability is 0.3821, or 38.21% The probability is -0.3000, or -30.00% The probability is 0.3000, or 30.00% The probability is 0.6179, or 61.79%
The U.S. Fish and Wildlife Service reported that the lengths of six-year-old rainbow trout in the Arolik River in Alaska are normally distributed with a mean of 481 millimeters and standard deviation of 41 millimeters. If a six-year-old rainbow trout from the Arolik River is selected at random, what is the probability it's length is more than 500 millimeters? Question 5 options: 0.1588 0.3215 0.4576 0.6785
The distribution of weekly salaries at a large company has a mean of $1000 and a standard deviation of $350. What is the probability that the mean of a random sample of weekly salaries of 50 employees will be at most $900? 0.0217 O 0.9783 O 0.3438 O Cannot be determined, because the distribution of the population is not normal.

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