Binoimial probability

Question

The Jones family was one of the first to come to the U.S. They had 6 children. Assuming that the probability of a child being a girl is .5, find the probability that the Jones family had:

at least 4 girls? 

at most 4 girls? 

Answer 1

So, the individual probabilities for a binomial distribution are P(x = k) = _nC_kp^k(1-p)^n-k

In your problem that is P(x=k) = ₆C_k(.5)⁶

a) P(x≥4) = P(x=4) + P(x=5) + P(x=6) (Hold onto the P values)

b) P(x≤4) = 1 - P(x=5) + P(x=6)

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