The fact that the random sample has a size of 20 and was picked from 37,100,000 people allows us to find out that the probability that two people in that sample know each other is 0.0036.
To solve this, we would need to use the binomial probability formula because the likelihood that two people from the sample of 20 know each other will only be determined by a system of trials.
The probability that two people in a sample of 20, picked from a population of 37,100,000 knowing each other is:
= (20! / 2!(20-2)!) x (0.5²) x ((1-0.5)²⁰⁻²)
Solving gives:
= (20! / 2!(20-2)!) x (0.5²) x ((1-0.5)²⁰⁻²)
= (20! / 2!(18)!) x 0.0625 x 0.328
= 0.0036
In conclusion, the probability that two people know each other from a sample of 20 people is 0.0036.
Find out more on binomial probability at https://brainly.com/question/15718689
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