(A) Using the Binomial Distribution, Find the Probability That 6

question 78

Essay

(A) Using the binomial distribution, find the probability that 6 or more of the 30 students taking this course in a given semester will withdraw from the class.
(B) Using the normal approximation to the binomial, find the probability that 6 or more of the 30 students taking this course in a given semester will withdraw from the class.
(C) Compare the results obtained in (A) and (B). Under what conditions will the normal approximation to this binomial probability become even more accurate?

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Definitions:

Percentile Rank

A score indicating the percentage of scores in its frequency distribution that are equal to or lower than it, providing a relative position of an individual's score in a group.

Standard Deviation

A statistical measure of the dispersion or spread of a set of data points in relation to their mean.

Publisher Type Score

A scoring system or scale provided by the publisher of a test or assessment tool, often used to interpret individual or group test results.

Mean

The average value obtained by adding all the numbers in a data set together and then dividing by the number of values.