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drek231 [11]
3 years ago
13

99 POINTS!

Mathematics
2 answers:
laila [671]3 years ago
6 0

Standard deviation = √(n * p * q)

You are given n and p

q = 1 - p

q = 1 -0.2 = 0.8

Standard deviation = √(21 * 0.2 * 0.8)

=√3.36 = 1.83

The answer is A.

Andrews [41]3 years ago
5 0

The standard deviation for a given binomial distribution n and p would be the following:

\sigma=\sqrt{n \times p \times q}

The variable q is equivalent to (p-1)

=\sqrt{n\times p\times(p-1)}

Substitute the values of p and n into the equation

=\sqrt{21\times0.2\times(1-0.2)}

=\sqrt{21\times0.2\times0.8}

Use a calculator to solve for this square root since it would be too hard and complicated to do by hand

=1.83303027798...

Round this to the nearest hundredths place since all answer choices are rounded like that

=1.83

Thus, the answer is choice A. Let me know if you need any clarifications, thanks!

~ Padoru

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