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Find the Probability That in 200 Tosses of a Fair

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Find the probability that in 200 tosses of a fair die, we will obtain at most 30 fives. Use the normal distribution to approximate the desired probability.


Definitions:

Confidence Interval

A set of numbers resulting from the statistical examination of a sample, expected to encompass the value of an undetermined parameter of the overall population.

Critical Values

Specific points on the scale of a test statistic that delineate the boundary between rejecting and not rejecting the null hypothesis.

Independent Large Samples

This refers to samples that are drawn from populations in such a way that the selection of a unit in one sample does not influence the selection of units in other samples, and each sample contains a sufficiently large number of observations.

Population Standard Deviations

The square root of the population variance, indicating how data is dispersed around the mean.

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