Explain the Case of Roper V.Simmons

question 44

Essay

Explain the case of Roper v.Simmons

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Definitions:

Probability

The measure of the likelihood that an event will occur, quantified as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Hypergeometric Random Variable

A type of random variable that describes the number of successes in a sequence of n draws from a finite population without replacement.

Tchebysheff's Theorem

A statistical rule stating that for any data set, regardless of distribution, a minimum proportion of values lie within a certain number of standard deviations from the mean.

Variance

A measure of the dispersion of a set of data points around their mean, indicating how spread out the data are.