General Direction: Please write your answers clearly, legibly and in an orderty fashion. Use a whitepaper on your answer. I prefer handwritten answers over tvoewritten. Show vour manual computationcompletely. Simplify your answer if possible1. Given two events, A, and A. Prove or disprove that if A, CA, Cn, then P[A,] s PIA.).[Hint Use a Venn Diagram)

Answered: Image /qna-images/answer/8175ee94-edbd-438b-ada9-8761f35649ab.jpg

Answered: General Direction: Please write your…

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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A study was constructed to investigate hypnotism on success in math class. Thevalues are the grade on a test before and after hypnosis for the same students.Student 1 2 3 4 5 6Before 66 65 90 100 85 81After 68 95 88 95 90 100a. Fill in the row for ?? (you should use Lists on your calculator and not one at a time)b. State the null and alternative hypothesis:H0:_________________; HA:___________________________Run the appropriate test on your calculator and use it to answer the followingc. The test statistic is: ______________________(include if this is a Z or T score)d.The p-value ise. The conclusion is: (either reject or fail to reject H0 based on a significance level of .05)f. Write a sentence that explains what your conclusion means for the data.
At most 31% of car crashes occur within 2 miles of the motorists home. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).H0:pH0:p _________H1:pH1:p _________Use the following codes to enter the following symbols: ≥≥ enter >= ≤≤ enter <= ≠≠ enter !=
Only looking for a, b, and c.
na cage, 3 white and 3 e world. What is the pr
Let A = {H, T}, B = {1, 2, 3, 4, 5, 6, 7}, and C = {red, green, blue}. Find the number indicated. HINT [See Example 5.] n(B x C)
Answer this question
A certain affects virus 0.8% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. (enter answer with no commas, i.e. as 1000 not 1,000.) Infected Not Infected Total Positive Test [a] [b] [c] Negative Test [d] [e] [f] Total 800 99,200 100,000 i) Find the probability that a person has the virus given that they have tested positive. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[g]_______ % ii) Find the probability that a person does not have the virus given that they test negative. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[h]________ %
For the graph of y = f(x) shown to the right, find the absolute minimum and the absolute maximum over the interval [0,10]. Af(x) 20- 15- 10- 54 0- 10 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute minimum is and x = at x= (Round to the nearest integer as needed. Use ascending order.) O B. The absolute minimum is at x= (Round to the nearest integer as needed.) O C. There is no absolute minimum.

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