Two Random Variables Are Normally Distributed with the Same Mean

question 98

Essay

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:

Standard Deviation

A statistical measurement that quantifies the amount of variation or dispersion of a set of values.

Atomic Orbitals

Mathematical functions that describe the wave-like behavior of an electron in an atom, these orbitals determine the distribution of electrons around an atom’s nucleus.

Hybrid Atomic Orbitals

Orbitals formed by the combination of standard atomic orbitals within an atom, explaining the bonding and geometry of molecules more accurately than unhybridized orbitals.

C-O Bond

A chemical bond between carbon and oxygen atoms, common in various organic and inorganic molecules and materials.