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 to three digits past the decimal point, and state just the number part of your answer (no units). In this same scenario, using a Binomial Distribution model: What is the approximate value of P(X≥542) ? Write your answer as a percentage value, and round to two digits 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?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 to three digits past the decimal point, and state just the number part of your answer (no units).
In this same scenario, using a Binomial Distribution model:
What is the approximate value of P(X≥542) ?
Write your answer as a percentage value, and round to two digits 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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