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 7.5 pounds and 9 pounds
A) $\frac { 3 } { 4 }$

B) $\frac { 1 } { 2 }$

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

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 7.5 pounds and 9 pounds 
A) $\frac { 3 } { 4 }$

B) $\frac { 1 } { 2 }$

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

D) $\frac { 1 } { 4 }$

Quizplus · Accepted Answer

The range of the uniform distribution is 6 to 12 pounds, so the total range is 6 pounds. The range between 7.5 and 9 pounds is 1.5 pounds. The probability is the length of the interval (1.5) divided by the total range (6), which is $\frac{1.5}{6} = \frac{1}{4}$.

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