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Use the Normal Approximation to the Binomial Distribution to Answer

question 154

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Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large university are absent on Mondays. If a random sample of 12 names is called on a Monday, what is the probability that four students are absent?


Definitions:

Alumni Association

An organization of graduates or former students (alumni) aimed at fostering connections and support between members and their alma mater.

Hypothesis Test

A method of statistical inference used to decide whether there is enough evidence to reject a null hypothesis about a population parameter based on sample data.

P-Value

The probability of observing results at least as extreme as those in the data, assuming the null hypothesis is true, used as a method to test hypotheses.

Large-Sample Z

A statistical test used for hypothesis testing or constructing confidence intervals when the sample size is large, typically using the Z-distribution.

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