Don't stand next to me

Computer Science Level 5

What is the probability that the height discrepancy between two random guys exceeds 12 inches? Give your answer to 3 decimal places.

Details and Assumptions

  • Above is a remarkable picture of Spud Webb 5 ′ 7 5'7 standing next to Manute Bol 7 ′ 7 7'7 .

  • Adult male heights are distributed normally with an average of 68 inches and a standard deviation of 4.5 inches.

  • Monte-Carlo is your friend, although other approaches are also definitely encouraged.


The answer is 0.059.

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Thaddeus Abiy by Thaddeus Abiy , 25, Ethiopia

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1 solution

Bill Bell
Aug 13, 2015 
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from random import gauss

N=100000
count=0
for n in range(N):
    count+=abs(gauss(68,4.5)-gauss(68,4.5))>12
print 1.*count/N

5 Helpful 0 Interesting 0 Brilliant 0 Confused

What happens inside the box?

Rushikesh Jogdand - 4 years, 11 months ago

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