SOLUTION: Question: 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 the

Algebra ->  Probability-and-statistics -> SOLUTION: Question: 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 the      Log On


   

Question 439321: Question: 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.
More than 11 pounds
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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.
More than 11 pounds
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The shape of the distribution is a rectangle with area = 1.
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For this uniform distribution (12-6)*height = 1
height = 1/6
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P(11<= x <=12) = 1*(1/6) = 1/6
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Cheers,
Stan H.