SOLUTION: Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a un

Algebra ->  Probability-and-statistics -> SOLUTION: Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a un      Log On


   

Question 530010: Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost.
Less than 11 pounds
Answer by stanbon(75887) About Me  (Show Source):
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Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost.
Less than 11 pounds
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6 sigma = (12-6) = 6
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sigma = 6
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u = (12+6)/2 = 9
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z(11) = (11-9)/6 = 1/3
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P(x < 11) = P(z < 1/3) = 0.6306
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Cheers,
Stan H.
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