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 8 pounds and 11 pounds.

A. 1/2.B. 1/4.C. 2/3.D. 1/3.

Answer 1

A. 1/2

Explanation:

In this uniform distribution (from 6 to 12 pounds), the probability of any given range (from 'a' to 'b' pounds) is determined by:

`P = (b-a)/(12 - 6)`

For a = 8 pounds and b = 11 pounds, the probability is:

`P=(11-8)/(12-6)\\P=(3)/(6)=(1)/(2)`

The probability of the range of pounds lost being between 8 pounds and 11 pounds is 1/2.