North Korea conducted nuclear tests in 2009 and 2013, and South Koreas defence ministry estimated their power

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North Korea conducted nuclear tests in 2009 and 2013, and South Korea’s defence ministry estimated their power at between 2 and 6 kilotonnes of TNT in 2009 and between 6 and 7 kilotonnes of TNT in 2013. “The power of North Korea’s nuclear tests increased between 2009 and 2013,” stated a commentator. Assume that the ranges given by the South Korean defence ministry represent the ranges within which the actual power of the tests lies with a probability of 0.9. Also assume that the defence ministry’s estimates are Normally distributed.

a) What is the probability that the actual power of the 2009 test was greater than 7 kilotonnes of TNT?

b) What is the probability that the actual power of the test was higher in 2009 than in 2013?

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Business Statistics

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Authors: Norean D. Sharpe, Richard D. De Veaux, Paul F. Velleman, David Wright

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Question Posted: Jun 25, 2019 09:07 AM

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North Korea conducted nuclear tests in 2009 and 2013, and South Koreas defence ministry estimated their power

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