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.
5) More than 10 pounds

Answer 1

1/3

Explanation:

Range of data set: 12 - 6 = 6

Given that there is a uniform distribution:

P(6<x<7) = 1/6

P(7<x<8) = 1/6

P(8<x<9) = 1/6

P(9<x<10) = 1/6

P(10<x<11) = 1/6

P(11<x<12) = 1/6

where x is weight loss

Probability that weight loss is more than 10 pounds:

P(10<x<11) + P(11<x<12) = 1/6 + 1/6 = 1/3