Let X1,X2, . . . ,X18 be a random sample of size 18 from a chi-square distribution with r = 1. Recall that
μ = 1 and σ2 = 2.
(a) How is distributed?
(b) Using the result of part (a), we see from Table IV in Appendix B that P(Y ≤ 9.390) = 0.05 and P(Y ≤ 34.80) = 0.99.Compare these two probabilities with the approximations found with the use of the central limit theorem.
Reference Table IV in Appendix B
Step 1 of 3
GenBus306Session9: RandomVariables Forcaseupdates Assume15%telephonebookings Nowthatweknowaboutprobability,howdowemakedecisionsinvolvingrisk Tomakeadecision,weneedtoknowpossibleoutcomes(radonvariables)and probabilitiesofoutcomes(distributions) Arandomvariable(canbecontinuousordiscrete)associatesanumericvaluewitheach possiblerandomoutcome Forexample: • Lotteryoutcomes • #ofstudentsinclasstoday • futurestockprices • #ofcustomersthatwalkintoastore Anygambleisarandomvariable Randomvariablescanhavedifferentdistributions:thenormalbellcurveisthemost common Inclasswealsocoveruniformandanotherthatstartswithab Theexpectedvalueofadiscreterandomvariableistheprob
Textbook: Probability and Statistical Inference
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. The answer to “Let X1,X2, . . . ,X18 be a random sample of size 18 from a chi-square distribution with r = 1. Recall that? = 1 and ?2 = 2.(a) How is distributed?(b) Using the result of part (a), we see from Table IV in Appendix B that P(Y ? 9.390) = 0.05 and P(Y ? 34.80) = 0.99.Compare these two probabilities with the approximations found with the use of the central limit theorem.Reference Table IV in Appendix B” is broken down into a number of easy to follow steps, and 78 words. This full solution covers the following key subjects: appendix, Table, random, chi, Compare. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. The full step-by-step solution to problem: 5E from chapter: 5.6 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. Since the solution to 5E from 5.6 chapter was answered, more than 1145 students have viewed the full step-by-step answer.