0 Suppose you randomly select a family with three children and record the gender

Question

0 Suppose you randomly select a family with three children and record the gender of the children in the order of birth, for example, GBG would represent the first child was a girl, the second a boy and the third a girl. 1. a. List each outcome in the sample space. (Hint: there are 8) are interested in the number of girls. Assuming that the probability of having a boy is the same as for having a girl (like flipping a coin) create a probability model for the number of girls that could result from randomly selecting a family with three childrern b. Suppose you

Explanation / Answer

Q 1

a) The Sample Space is

S = { GGG ,GGB ,GBG , GBB, BGG, BGB, BBG, BBB }

b) Thr probabilty distribution table is given below

Number of Girls (X) Frequency P(X=x) 0 1 1/8 =0.125 1 3 3/8 =0.375 2 3 3/8 =0.375 3 1 1/8 = 0.125 Total 8 1

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