How Do You Calculate Probability in Uniform Distribution for Weight Loss?

[ocean09]

I'm not sure which forum to ask this statistic question.

Here it is:

Assume that the weight loss for the first month of a diet program varies between 6 pounds and 17 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 10.5 pounds and 12 pounds?

which is the answer to this question.

A) 1/3

B) 1/2

C) 1/4

D) 3/4


Thanks!

 

[TeethWhitener]

E) none of the above.

A uniform distribution between 6 and 17 pounds means that you have an equal probability of losing any amount of weight between 6 and 17 pounds, and zero probability of losing any other amount of weight. Since 17 - 6 = 11 pounds, and 12 - 10.5 = 1.5 pounds, the probability of losing between 10.5 and 12 pounds is 1.5/11 = 13.6%. Maybe I'm missing part of the problem, but this doesn't correspond to any of the answers you've given.