Statistics

Achusband and wife with brown eyes who have 0.75 probability of having children with brown eyes, 0.125 probability of having children with blue eyes, and 0.125 probability of having children with green eyes.

(a) What is the probability that their first child will have green eyes and the second will not?

Is it 0.1094?

(b) What is the probability that exactly one of their two children will have green eyes?

Is it 0.2188?

(c) If they have six children, what is the probability that exactly two will have green eyes?

Is it 0.1374?

(d) If they have six children, what is the probability that at least one will have green eyes?

Is it 0.5512?

(e) What is the probability that the first green eyed child will be the 4th child?

Is it 0.0837?

(f) Would it be considered unusual if only 2 out of their 6 children had brown eyes?

Yes, because the probability that exactly two have brown eyes given a sample size of 6 is very small and thus unlikely (3.03%). Also, note that there is a 0.75 probability (high prob) of having brown eyes children.

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asked by Neveah

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