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suppose the diameter of farmland is normally distributed with mean of 8.6 km and a standard...

suppose the diameter of farmland is normally distributed with mean of 8.6 km and a standard deviation of 2.7 km

i) what is the value of x such that the interval (8.6-x, 8.6+x) contains 94% of all diameter values?

ii) what is the probability that the diameter of a randomly selected farmland will be between 6.4 km and 12 km?

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Answer #1

Solution XN Normal (el=8.6, 8=2.7) 94% 30/0 t 8.6 x 8.6 8.6 + 2 For 8.6 x Plz S2] = 0.03 From 2 table PLZ < -1.881] = 0.03 zp[-0.815 < Z < 1.259] = P[ za 1.259] P(Z < -0.8.15] 0.8 g 60 0.2075 0.6885 Answers x=5.0787 Pl between 6.4 and 12] = 0.6885

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