Answered

Find a standard deviation of the binomial for which N = 420 and P = 0.90. Answer choices 37.86.153786.2

Answer :

The standard deviation σ is given by:

[tex]\begin{gathered} \sigma=\sqrt{np(1-p)} \\ \text{ Where} \\ p=\text{ the probability of success} \\ n=\text{ number of trials} \end{gathered}[/tex]

Substitute n = 420 and p = 0.90 into the formula:

[tex]\sigma=\sqrt{420\cdot0.90(0.10)}\approx6.15[/tex]

Hence the correct answer is 6.15

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