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 pounds and 10 pounds

A) $\frac { 2 } { 3 }$

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

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

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

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 pounds and 10 pounds

A) $\frac { 2 } { 3 }$

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

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

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

Quizplus · Accepted Answer

The probability is calculated as the fraction of the range of interest (7 to 10 pounds, which is 3 pounds) over the total range (6 to 12 pounds, which is 6 pounds). Thus, $ \frac{3}{6} = \frac{1}{2} $.

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