Although the Binomial Distribution Is Discrete, in Many Cases It

question 23

Multiple Choice

Although the binomial distribution is discrete, in many cases it can be modeled using a normal distribution.If X is binomial with mean = μx and standard deviation = σx, then we can define a new random variable Y that is normal with the same mean and same standard deviation.In this case under certain assumptions,P(X ≤ x) ≈ P(Y ≤ x) .This relationship is most useful when X has a large number of trials.If X is binomial with a mean of 25 and a standard deviation of 4.33 (n = 100, p = 0.25) , what is P(X ≤ 23) using the normal approximation discussed here?

• A) 0.3228
• B) 0.4300
• C) 0.4500
• D) 0.6772

Understand the structure and function of the gastrovascular cavity across different animal taxa.

Recognize the defensive mechanisms of cnidarians, specifically nematocysts.

Identify relationships among protists and their closest animal relatives.

Understand the distinctive features of various animal phyla, including molluscs, annelids, arthropods, and echinoderms.

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