Find the sample space for the number of boys and girls in families with 3 children, assuming equal probabilities for boys and girls. (a) Let the random variable X denote the number of boys in families...

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Find the sample space for the number of boys and girls in families with 3 children, assuming equal probabilities for boys and girls.
(a) Let the random variable X denote the number of boys in families with 3 children. Obtain the probability distribution for X.
(b) Construct a graph for this probabilit...

Answered Same DayDec 20, 2021

Answer To: Find the sample space for the number of boys and girls in families with 3 children, assuming equal...

David answered on Dec 20 2021

133 Votes

Let X denote number of boys in n = 3 independent children, where each has a
probability p = 0.5
We denote this by:
X ∼ Binomial(n = 3, p = 0.5)
P (X = 0) =
(3
0
)
(0.5)0(1 − 0.5)3 = 1(0.5)0(0.5)3 = 0.125
P (X = 1) =
(3
1
)
(0.5)1(1 − 0.5)2 = 3(0.5)1(0.5)2 = 0.375
P (X = 2)...

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Find the sample space for the number of boys and girls in families with 3 children, assuming equal probabilities for boys and girls. (a) Let the random variable X denote the number of boys in families...

Answer To: Find the sample space for the number of boys and girls in families with 3 children, assuming equal...

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