Find the Standard Deviation $\sigma$ , for the Binomial Distribution Which Has the Stated Values

question 10

Multiple Choice

Find the standard deviation, $\sigma$ , for the binomial distribution which has the stated values of n and p. Round your answer
to the nearest hundredth.
- $$\mathrm { n } = 2219 ; \mathrm { p } = 0.63$$

• A) \(\sigma = 20.33\)
• B) \(\sigma = 26.01\)
• C) \(\sigma = 22.74\)
• D) \(\sigma = 26.86\)

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Definitions:

Distribution

Describes the way values in a dataset are spread or dispersed across the range of possible values.

Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion of a set of data values from their mean.

Normally Distributed

Describes a distribution that is symmetrical, bell-shaped, and characterized by data equally spread around the mean, implying many measurement observations fall close to the average.

Mean

The average value in a set of numbers calculated by dividing the sum of all values by the number of values.