For Any Normally Distributed Random Variable with Mean μ and Standard

question 21

Multiple Choice

For any normally distributed random variable with mean μ and standard deviation σ,the percent of the observations that fall between [μ - 2σ,μ + 2σ] is the closest to ______.

• A) 68%
• B) 68.26%
• C) 95%
• D) 95.44%

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Definitions:

Exponential Decay

A process of reduction in quantity where the decrease is proportional to the current value, often used in science and finance to describe rapidly decreasing phenomena.

Compound Interest

The calculation of interest for deposits or loans that takes into account both the starting principal and previously accrued interest.

Exponential Decay

A process described by a decrease in quantity at a rate proportional to its current value, often observed in radioactive decay and depreciation of assets over time.

Complex Arithmetic

Mathematical operations that involve complex numbers, including addition, subtraction, multiplication, and division, where complex numbers are numbers with both real and imaginary parts.