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# Binomial random variable

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A study consists of randomly selecting 14 newborn babies and counting the number of girls. If we assume that boys and girls are equally likely and if we let x=number of girls among 14 babies, then x is a random variable because its values depends on chance. The possible values of x are 0,1,2,...,14. The Below table lists the values of x along with the corresponding probabilities.

Porbabilities of Girls
x(girls) P(x)
======== ====
0 0.000
1 0.001
2 0.006
.
.
13 0.001
14 0.000

How did he get the following:
P(x) = 0.000
P(1) = 0.001
P(2) = 0.006
P(13) = 0.001
P(14) = 0.000

Please explain in simple and detailed steps.

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#### Solution Preview

Random variables
A study consists of randomly selecting 14 newborn babies and counting the number of girls. If we assume that boys and girls are equally likely and if we let x=number of girls among 14 babies, then x is a random variable because its values depends on chance. The possible values of x are 0,1,2,...,14. The Below table lists the values of x along with the ...

#### Solution Summary

The solution provides step by step method for the calculation of probability based on Binomial random variable . Formula for the calculation and Interpretations of the results are also included.

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