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Answered: Image /qna-images/answer/51a98468-3ead-4e5a-b16a-dcc88ef4ab28.jpg

using just common membership function for the following fuzzy sets. (of course, you must first set u) is.) is a large integes. The mean of sense, give Teasonable specifiy what the nderiging you (9) a random variable is around s. ase very ५ुn eopte and 2. (C) These between गपैकऊते दिपाकी (d) X is -3

using just common membership function for the following fuzzy sets. (of course, you must first set u) is.) is a large integes. The mean of sense, give Teasonable specifiy what the nderiging you (9) a random variable is around s. ase very ५ुn eopte and 2. (C) These between गपैकऊते दिपाकी (d) X is -3

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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can you solve this for me by showing step by step for each question? Acme Food manufactures and sells bags of doughnuts whose weights follow a normal distribution with a mean of 400g and standard deviation 8g. a) Find the probability that a bag of doughnuts weights less than 410g b) Find P (X>412) c) Find P (395 < X < 404) d) The company can be prosecuted if the bags are less than 380g, if the company sells 50 bags per day find the expected number of bags under this weight. e) On a typical day 1.22% of bags are rejected as they are too heavy. Find the rejection weight.
42)
Suppose that a category of world-class runners are known to run a marathon (26 miles) in an average of 147 minutes with a standard deviation of 11 minutes. Consider 49 of the races. Let x̅ = the average of the 49 races. A) Give the distribution x̅ (round your standard deviation to two decimal places.) x̅~______(______,______) B) Find the probability that the average of the sample will be between 144 and 148 minutes in these 49 marathons. (Round your answer to four decimal places.) C) Find the 70th percentile for the average of these 49 marathons. (Round your answer to two decimal places.) ______ min D) Find the median of the average running times. _____min
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The average wait time to get seated at a popular restaurant in the city on a Friday night is 15 minutes. Is the mean wait time greater for men who wear a tie? Wait times for 13 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 17, 16, 14, 16, 14, 15, 16, 15, 14, 14, 13, 15, 17 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? vSelect an answer v H: ? v Select an answer v c. The test statistic ? v: (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the population mean wait time for men who wear a tie is not significantly more than 15 at a = 0.05, so there is…
A cereal manufacturer claims that the gross weight (including packaging) of a box of cereal labeled as weighing 12 oz has a mean of 12.2 oz and a standard deviation of 0.1 oz. You gather 75 boxes and weigh them all together. Let S denote the total weight of the 75 boxes of cereal. a) If the claim is true, what is P(S ≤ 914.8)? b) Based on the answer to part (a), if the claim is true, is 914.8 oz an unusually small total weight for a sample of 75 boxes? c) If the total weight of the boxes were 914.8 oz, would you be convinced that the claim was false? Explain. d) If the claim is true, what is P(S ≤ 910.3)? e) Based on the answer to part (d), if the claim is true, is 910.3 oz an unusually small total weight for a sample of 75 boxes? f) If the total weight of the boxes were 910.3 oz, would you be convinced that the claim was false? Explain.
4
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