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let x be a continuous random variable that is normally distributed with mean u 15 and standard deviation 2 8 find p 12 2 x

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Let X be a continuous random variable that is normally distributed with mean, µ = 15 and standard deviation, σ = 2.8, find P( 12.2 < x < 18.36). Answer should contain 4 decimal places and enter in the form 0.XXXX

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Answer to a math question Let X be a continuous random variable that is normally distributed with mean, µ = 15 and standard deviation, σ = 2.8, find P( 12.2 < x < 18.36). Answer should contain 4 decimal places and enter in the form 0.XXXX

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The probability that the continuous random variable \( X \) falls between 12.2 and 18.36, given that \( X \) is normally distributed with a mean (\( \mu \)) of 15 and a standard deviation (\( \sigma \)) of 2.8, is approximately 0.7263 or 72.63%.

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