approximately 40 % of the population have type o blood . if 4 people are randomly selected to be donors . find the probability that at least one is type o.

Respuesta :

The probability that at least one is type O is 0.8704.

What is a binomial distribution probability?

A value's likelihood of taking one of two independent values is summarised by the statistical distribution known as the binomial distribution.

Given,  40 % of the population has type O blood and 4 people are randomly selected to be donors

Then, binomial distribution can be given by

X ~ = Binomial(n = 4, p = 0.4)

P(at least one type O)

P[X ≥ 1]

= 1- P[X < 1]

= 1- P[X = 0]

= [tex]1 -C(4,0) * (0.4)^{0} * (1 - 0.4)^{4-0}[/tex]

=1-0.1296

=0.8704

Hence, the probability that at least one is type O is 0.8704.

To learn more about a binomial distribution probability

https://brainly.com/question/14578727

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