Question 825048
<pre>
The formula for the standard deviation of a binomial distribution is

<font face="symbol">s</font> = &#8730;<span style="text-decoration: overline">npq</span>

where q = 1-p = 1-0.40 = 0.60

or you may have learned the formula without q, but with 1-p like this:

<font face="symbol">s</font> = &#8730;<span style="text-decoration: overline">np(1-p)</span>

<font face="symbol">s</font> = &#8730;<span style="text-decoration: overline">100(0.40)(0.60)</span>

<font face="symbol">s</font> = &#8730;<span style="text-decoration: overline">24</span> = 4.8990

So it's the square root of 24, (not 24 without a square root over it.)

Answer: false

Note: the formula for the mean is <font face="symbol">m</font> = np without a square root.
But the formula for the standard deviation does have a square root.
If you had been asked for the variance <font face="symbol">s</font>² = npq, not the standard 
deviation, then 24 would have been the answer, but the standard 
deviation is the square root of the variance.

Edwin</pre>