The Statistical Bulletin published by Metropolitan Life Insurance Co. reported that 2% of all American births result in twins. I
f a random sample of 8000 births is taken, find the mean, variance, and standard deviation of the number of births that would be result in twins.
1 answer:
Answer:
Mean = 160 births
Variance = 156.8 births
Standard deviation = 12.522 births
Step-by-step explanation:
The mean number of births resulting in twins is given by the sample size (n=8000 births) multiplied by the probability of twins in any birth (p=2%).
In a binomial distribution like this one, the variance is given by:
The standard deviation is simply the square root of the variance:
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