Comparing an exponential distribution and a Weibull distribution with shape parameter 2, if we want to do a life test to prove either the MTTF of exponential distribution is longer than 1000 hours or the characteristic life of Weibull distribution is longer than 1000 hours, and the test lasts 100 hours, then which test should require larger number of test units?
Read Details(HC) The passage below is an excerpt from leaflets dropped on Japanese cities after the United States dropped an atomic bomb on Hiroshima: [B]ecause of your leaders’ refusal to accept the surrender declaration that would enable Japan to honorably end this useless war, we have employed our atomic bomb. The Soviet Union, because of this rejection on the part of the military, has notified your Ambassador Sato that it has declared war on your nation. Thus, all powerful countries of the world are now at war with you.Source: http://www.pbs.org/wgbh/americanexperience/features/primary-resources/truman-leaflets/ What did the United States hope would result from this leaflet? (3 points)
Read Details(06.01 MC) A mathematician reported the results from a particular experiment to the researcher who conducted it. The report states that on one specific part of the experiment, a statistical test result yielded a p-value of 0.21. Based on this p-value, what should the researcher conclude? (3 points)
Read Details(04.02 MC) An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times? (3 points)
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