SOLUTION: Let X be a normally distributed random variable with \mu μ = 100 and \sigma σ = 10. Find the probability that X is between 70 and 110. (Round your answer to the nea
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Question 1089263: Let X be a normally distributed random variable with \mu μ = 100 and \sigma σ = 10. Find the probability that X is between 70 and 110. (Round your answer to the nearest whole number percent and include the percent symbol.) Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! Probability (P) ( 70 < X < 110 ) = P ( X < 110 ) - P ( X < 70 )
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z(110) = (110 - 100) / 10 = 1
P ( X < 110 ) = 0.8413
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z(70) = (70 - 100) / 10 = -3
P ( X < 70 ) = 0.0013
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P ( 70 < X < 110 ) = 0.8413 - 0.0013 = 0.84 = 84%
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