If a couple were planning to have three children, the sample space summanzing th

Question

If a couple were planning to have three children, the sample space summanzing the gender outcomes would be a. Construct a simlar sample space for the possible weight outcomes (using o for averweight and u for underweight) of h bAssuming that the outcome isted in part (al wer c. Find the probability of getting exacty one overweight child and one underweight child bbb, bbg, bgb, bgg. abb, gtg, ggb, gog o children e equaly likely, find the probabity of getting two underweight children a. What is the sample space? (use a comma to separate answers as needed ) b. Find the probability of getting two underweight children (Type an exact answer ) C. Find the probability of getting one overweight child and one underweight ched {Type an eat answer.)

Explanation / Answer

a)
S = {oo,ou,uo,uu}
b)
X = number of overweight children
X follow binomial distribution with n = 2 , p = 1/2
P(X = 2)
= (1/2)^2
=0.25
c)

P(X = 1) = 2 /4 = 0.5

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