The standard deviation for the number of times an odd number is rolled is 15.8
The given parameters are:
Die = regular six-sided die
n = 1000
The probability of rolling an odd number is:
p = 1/2 = 0.5
The standard deviation is then calculated as;
[tex]\sigma = \sqrt{np(1 - p)[/tex]
This gives
[tex]\sigma = \sqrt{1000 * 0.5 * (1 - 0.5)[/tex]
Evaluate the products
[tex]\sigma = \sqrt{250[/tex]
Evaluate the root
[tex]\sigma = 15.8[/tex]
Hence, the standard deviation is 15.8
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