Under ordinary circumstances: For all babies born in the entire global population, the proportion of male births tends to be consistently a bit higher, than the proportion of female births (Source: WHO - World Health Organization).
In fact: For a randomly sampled individual birth from the global population, the probability that the baby's sex will be male is approximately 51.2%.
Imagine that we will randomly record the sex outcome at birth for 1000 future individual babies from the global population.
We will let random variable X stand for the total number of male births in our sample.
[Note: This problem takes place within the Binomial Setting, and thus we model it using a Binomial Distribution.]
In this scenario, what is the exact numerical value of E(X) ?
State just the number part of your answer (no units).
In this same scenario, using a Binomial Distribution model:
What is the approximate numerical value of SD(X) ?
Round tothreedigits past the decimal point, and state just the number part of your answer (no units).
What is the approximate value of P(X≥542) ?
Write your answer as a percentage value, and round totwodigits after the decimal point. Include a percent symbol after your answer (no spaces).
A famous mathematical theorem states that the Binomial Distribution in this problem, will be well-approximated by a Distribution.
What single-word, formal distribution name correctly fills-in the blank in this last sentence?
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