Assume that the world population is 10 billion people and each one is assigned a serial...
Assume that the world population is 10 billion people and each one is assigned a serial number between 0000000000 and 9999999999. If you pick a random person and look at the number, what is the probability that 5 digits are equal to "5" or more?
Homework Answers
P(one digit from 0 to 9 is 5 or more) = Number of digits that are 5 or more/Total number of digits
= 5/10
= 0.5
Number of digits in a serial number = 10
Binomial distribution: P(X) = nCx px qn-x
n = 10
p = 0.5
q = 1 - p = 0.5
P(5 digits are equal to 5 or more) = P(X = 5)
= 10C5 x 0.55 x 0.55
= 0.2461
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