The mean and standard deviation for the number of boys in the 950 babies are 475 and 15.41, respectively
How to determine the mean and the standard deviation?
From the complete question, we have:
P(boy)= 0.5
Sample size = 950
The mean is then calculated as:
[tex]\bar x = np[/tex]
This gives
[tex]\bar x = 950 * 0.5[/tex]
Evaluate
[tex]\bar x = 475[/tex]
The standard deviation is calculated as:
[tex]\sigma = \sqrt{np(1 - p)[/tex]
This gives
[tex]\sigma = \sqrt{950 * 0.5(1 - 0.5)[/tex]
Evaluate
[tex]\sigma = 15.41[/tex]
Hence, the mean and standard deviation for the number of boys in the 950 babies are 475 and 15.41, respectively
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