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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. Between 8 pounds and 11 pounds.
A. 1/2.B. 1/4.C. 2/3.D. 1/3.

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Answer:

A. 1/2

Step-by-step explanation:

In this uniform distribution (from 6 to 12 pounds), the probability of any given range (from 'a' to 'b' pounds) is determined by:

[tex]P = \frac{b-a}{12 - 6}[/tex]

For a = 8 pounds and b = 11 pounds, the probability is:

[tex]P=\frac{11-8}{12-6}\\P=\frac{3}{6}=\frac{1}{2}[/tex]

The probability of the range of pounds lost being between 8 pounds and 11 pounds is 1/2.

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