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
A) $\frac { 5 } { 7 }$

B) $\frac { 1 } { 6 }$

C) $\frac { 5 } { 6 }$

D) $\frac { 1 } { 3 }$

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.
-Less than 11 pounds 
A) $\frac { 5 } { 7 }$

B) $\frac { 1 } { 6 }$

C) $\frac { 5 } { 6 }$

D) $\frac { 1 } { 3 }$

Quizplus · Accepted Answer

The range of weight loss is from 6 to 12 pounds. The probability of losing less than 11 pounds is the length of the interval from 6 to 11 divided by the total length of the interval from 6 to 12, which is $\frac{11-6}{12-6} = \frac{5}{6}$.

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