Let X Be a Binomial Random Variable with N =

question 119

Short Answer

Let x be a binomial random variable with n = 15 and p = 0.20.
Calculate P(x 4) using the binomial formula.
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Calculate P(x 4) using the cumulative binomial probabilities table in Appendix I of your book.
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Are the results of your two previous answers very different, or very similar?
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Calculate the mean of the random variable x.
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Calculate the standard deviation of the random variable x.
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Fill in the table below:
Are the results consistent with Tchebysheff's Theorem?
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With the Empirical Rule?
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Definitions:

Least Squares Regression

A statistical method for estimating the relationship between variables by minimizing the squares of the differences between observed and predicted values.

Relationship

A connection, association, or involvement between two or more variables or entities.

Standard Error

The standard deviation of the sampling distribution of a statistic, most commonly the mean.

Regression Slope

Indicates the steepness and direction of the linear relationship between two variables on a regression plot.