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) $\frac { 1 } { 3 }$
B) $\frac { 2 } { 3 }$
C) $\frac { 1 } { 2 }$
D) $\frac { 1 } { 4 }$

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.
-Between 8 pounds and 11 pounds 
A) $\frac { 1 } { 3 }$
B) $\frac { 2 } { 3 }$
C) $\frac { 1 } { 2 }$
D) $\frac { 1 } { 4 }$

Quizplus · Accepted Answer

The total range of possible weight loss is 12-6=6 pounds. To find the probability of losing between 8 and 11 pounds, we need to find the portion of the total range that falls within this range.

The portion of the range that falls within 8-11 pounds is 11-8=3 pounds.

Therefore, the probability of losing between 8 and 11 pounds is:

3/6 = 1/2

So the correct answer is C) $\frac{1}{2}$.

Assume That the Weight Loss for the First Month of a Diet