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micahsocool23
11.03.2020 •
Mathematics
In a certain country, the true probability of a baby being a boy is 0.511. Among the next eight randomly selected births in the country, what is the probability that at least one of them is a girl?
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Ответ:
The probability that at least one of 8 babies born is a girl is 0.9954.
Step-by-step explanation:
Let X = a baby born is a girl.
The probability of a baby born being a girl is,
P (G) = 1 - P (B)
= 1 - 0.511
p = 0.489
The number of births is, n = 8.
The random variable X follows a Binomial distribution with parameters n and p.
The probability mass function of the Binomial distribution is:
Compute the probability that out of 8 births at least one is a girl as follows:
P (X ≥ 1) = 1 - P (X < 1)
= 1 - P (X = 0)
Thus, the probability that at least one of 8 babies born is a girl is 0.9954.
Ответ:
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Step-by-step explanation:
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