Question

recent research indicated that about 20% of british children are deficient in vitamin d. suppose doctors test a group of elementary school children. a) what's the probability that the first vitamin d-deficient child is the 8th one tested?

Answer 1

If about 20% of British children are deficient in vitamin and doctors test a group of elementary school children, the probability that the first vitamin d-deficient child is the 8th one tested is 4.19% determined using geometric distribution formula.

In probability and statistics, geometric distribution refers to the probability that first success would occurs after n number of trials and is given by:

P(X)=q^(x-1)p

Where p is the probability of success and q is (1-p)

In this case,

p=probability of children deficient in vitamin= 0.2

q= probability of children not deficient in vitamin= 0.8

Hence,

P(8)=0.8^(8-1)*0.2= 0.0419

Hence, the probability that 8th child is deficient is 4.19%

Learn more about geometric distribution:

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