Question

Create the probability distribution for a random variable X that represents the following:The number of girls in a 3 child family.

Answer 1

we are assuming that boys and girls are equally likely. X represents the number of girls in a 3 child family.

the all possible outcomes = 2³ = 8

the outcomes are:-

{ BBB ,BBG, BGB , BGG , GBB , GBG , GGB , GGG }

[ B denotes that the child is boy and G denotes that the child is girl ]

the probability distribution table be:-

X (number of girls)	outcomes	P(x)
0	{BBB}	1/8
1	{ BBG , BGB , GBB }	3/8
2	{ BGG , GBG , GGB }	3/8
3	{GGG}	1/8

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