Use a coin or a computer to simulate births. You should simulate 100 births and

Question

Use a coin or a computer to simulate births. You should simulate 100 births and report the number of girls and the number of boys in your simulation. Using n=total number of births and x=number of girls; compute the mean and the standard deviation for the number of girls. Is the simulated results unusual? Why or why not?

So, I didn't know how to do this on a computer so I flipped a coin 100 times and got 42 girls (heads) and 58 boys (tails).

How do I find the mean and the standard deviation? Thank you

Explanation / Answer

Use a coin or a computer to simulate births. You should simulate 100 births and report the number of girls and the number of boys in your simulation. Using n=total number of births and x=number of girls; compute the mean and the standard deviation for the number of girls. Is the simulated results unusual? Why or why not?

So, I didn't know how to do this on a computer so I flipped a coin 100 times and got 42 girls (heads) and 58 boys (tails).

How do I find the mean and the standard deviation? Thank you

n=100, x=42

P(girls) =42/100 =0.42

Binomial distribution used

Expectation = np = 100*0.42 = = 42

Variance = np(1 - p) = 100*0.42*0.58 = 24.36

Standard deviation = sqrt(24.36) = 4.9356

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