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Two Random Variables Are Normally Distributed with the Same Mean

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Two random variables are normally distributed with the same mean. One has a standard deviation of 10 while the other has a standard deviation of 15. How will the graphs of the two variables differ and how will they be alike?

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Definitions:

Recessive

A genetic term describing an allele that produces its characteristic phenotype only when its paired allele is identical.

Dominant

Pertaining to a trait, allele, or individual that supersedes others in influence, power, or expression in a genetic, social, or hierarchical context.

Genes

Units of heredity made up of DNA, acting as instructions to make molecules called proteins, influencing individual traits from physical appearance to disease susceptibility.

Intelligence

The ability to acquire knowledge, think abstractly, understand complex ideas, adapt to environments, learn from experience, and solve problems.

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