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

Question

Mira Santana

Mathematics

16 July, 22:45

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

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Russell Larsen · Answer 1

Since it is equally likely between 40 and 100 lbs, it subscribes to a uniform distribution, where P (x
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.