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# (Solved): Suppose that a certain country conducted tests of a certain type of bomb in 2009 and 2013, and an ...

Suppose that a certain country conducted tests of a certain type of bomb in 2009 and ​2013, and another​ country's defence ministry estimated their power at between 6 and 8 kilotonnes of a certain explosive in 2009 and between 8 and 9 kilotonnes of the explosive in 2013. ​"The power of the​ country's bomb tests increased between 2009 and 2013​," stated a commentator. Assume that the ranges given by the second​ country's defence ministry represent the ranges within which the actual power of the tests lies with a probability of 0.8. Also assume that the defence​ ministry's estimates are Normally distributed. Complete parts​ (a) and​ (b) below.

a. ​What is the probability that the actual power of the 2009 test was greater than 9 kilotonnes of​ explosive?

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

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