# Binomial random variable

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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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.