Construct Probability Histograms

question 140

Essay

Construct Probability Histograms
-The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, (a) construct a probability distribution, and (b) graph the probability histogram.

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Definitions:

Permutation Test

A non-parametric statistical test that assesses the significance of a difference between groups by computing all possible outcomes under rearrangements of labels.

P-value

The probability of obtaining test results at least as extreme as the results observed, under the assumption that the null hypothesis is true.

Test Statistic

A calculated value used in statistical hypothesis testing to determine whether to reject the null hypothesis.

Bootstrap Distributions

Bootstrap distributions are theoretical distributions created by resampling with replacement from an observed dataset, used to estimate the sampling distribution.