Posted by **Kim** on Tuesday, August 20, 2013 at 4:35pm.

The random variable x represents the number of boys in a family with three children.

Assuming that births of boys and girls are equally likely, find the mean and standard

deviation for the random variable x.

- statistic -
**MathMate**, Wednesday, August 21, 2013 at 8:17am
This is a binomial distribution with parameters

n=3 (number of trials in the experiment)

p=1/2 (probability of boys, X)

q=1-p (probability of girls)

For a random variable X with a binomial distribution (n,p,q), then

E(x)=μ=np

σ²=npq

where σ=standard deviation (of population)

## Answer This Question

## Related Questions

- Statistics - In planning a family of 4 children assume boys and girls are ...
- statistic - 5. Decide whether the following experiment is a binomial experiment...
- math (stats) - Enter your answers as decimals or fractions, rather than percents...
- statistics - For every 100 births in the U.S., the number of boys follows, ...
- statistics - Please analyze the following data using the T-test for Unpaired ...
- statistics - Let the random variable x represent the number of girls in a family...
- statistics - Let the random variable x represent the number of girls in a family...
- statistics - If boys and girls are equally likely and groups 400 births are ...
- statistics - assuming that boys and girls are equally likely, estimate the ...
- Statistics - Survey of 115 families chosen at random, having 5 children it was ...

More Related Questions