Find the probability distribution of boys and girls in families with 3 children assuming equal probabilities of boys and girls. Also give the distribution function.
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Answer:
1/3, 2/3. ,,3/3.=1. ...... ,
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Given that for a binomial random variable X with n = 3 find PDF :
Explanation:
- p = 0.5, P(X = x) = 3Cx (0.5)x^(1 - 0.5)^(3 - x).
- P(X = 0) = 3C0 * 0.5³ = 0.125
- P(X = 1) = 3C1 * 0.5³ = 0.375
- P(X = 2) = 3C2 * 0.5³ = 0.375
- P(X = 3) = 3C3 * 0.5³ = 0.125
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