Discrete Mathematics2 Part Problem Беxotic-report:0assignment.tex - TeXstudiopartlabeltiny514 of 11PROBLEM 2Part 1. Which of the following arguments are valid? Explain your reasoning.(a) I have a student in my class whoin my class, is getting an A.getting an A. Therefore, John, a student(b) Every Girl Scout who sells at least 30 boxes of cookies will get a prize.Suzy, a Girl Scout, got a prize. Therefore, Suzy sold at least 30 boxes ofcookies.lid give ssignment.tex - TeXstudiopartlabeltiny4 of 11Part 2. Determine whether each argument is valid. If the argument is valid, givea proof using the laws of logic. If the argument is invalid, give values for the pred-icates P and Q over the domain a, b that demonstrate the argument is invalid.(a)3r(P(r) A Q(r))Br Q(z) A B P(r)(b)VI (P(r) V Q(z))Vr Q(x) V Vx P(r)108% -Pages 4 to 5 of 11LTen USUTF-8Ready Automatic

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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A manufacturer of pins knows that 5% of his product is defective. If he sells pins inboxes of 100 and guarantees that not more than 4 pins will be defective. What is theprobability that a box will fail to meet the guaranteed quality?
In a recent study, 25 males used a new weight-loss supplement, and 19 of them experienced weight loss after two weeks. In the same study, 50 females used the same supplement, and 42 of them experienced weight loss after two weeks. Fill in the blanks of the statement below to make the statement the most reasonable possible. The new weight-loss supplement was more effective on ?males/females in the study because only % of them failed to lose weight after two weeks, whereas % of the ? males/females failed to lose weight after two weeks.
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The principal of a middle school claims that test scores of the seventh-graders at his school vary less than the test scores of the seventh-graders at a neighboring school, which have variation described by Η = 14.7. Assuming that a hypothesis test to support this claim has been conducted and that the conclusion is to reject the null hypothesis, state the final conclusion using pure English words.
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A researcher conducted a hypothesis test to see if students on average spend more than 1 hour per homework assignment. The level of significnace, a, selected was 0.05. This means that if on average they do spend exactly 1 hour per assignment, then the erroneous conclusion will be made that students spend on average more than 1 hour per assignment. True False
In a recent study, 25 males used a new weight-loss supplement, and all but 7 of them experienced weight loss after two weeks. In the same study, 100 females used the same supplement, and all but 45 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was more effective on ▼(Choose one) in the study. That is because _% of them lost weight after two weeks, whereas only _% of the ▼(Choose one) lost weight after two weeks.
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