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 9 pounds
A) $\frac { 1 } { 2 }$

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

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

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

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 9 pounds 
A) $\frac { 1 } { 2 }$

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

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

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

Quizplus · Accepted Answer

The probability of losing less than 9 pounds is the area under the uniform distribution curve between 6 and 9 pounds. The total area under the curve is 1, and the area between 6 and 9 pounds is $\frac { 1 } { 2 }$ of the total area.

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