Question

Assume the number of pounds of peanuts consumed in a year is equally likely between 20 and 100 pounds. what is the probability that someone consumes less than 40 pounds of peanuts in a year

Answer 1

Since it is equally likely between 40 and 100 lbs, it subscribes to a uniform distribution, where P(x<X)=(x-x1)/(x2-x1),
x1=20, x2=100 are the lower and upper consumption limits, and
X=number of pounds consumed.

Thus
P(x<40)=(40-20)/(100-20)
=20/80
=0.25

Answer: probability of consuming less than 40 lbs is 0.25.