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A couple plans to have children until they get a girl, but they agree that they will not have more than three children even if all are boys. (Assume boys and girls are equally likely.) a) Createaprobabilitymodelforthenumberofchildren they might have. b) Find the expected number of children. c) Find the expected number of boys they’ll have.

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oodaramola

Answer:

a. (0.5)^3*(0.5)^0*3C0 +0.5^2*0.5^1*3C1+0.5^1*0.5^2*3C2 +0.5^0*0.5^3*3C3

b. probability of having a girl 1/2 and that of boy is 1/2 but for the occurrence 0,1,2,3 it is 7/8 the number of children may be 2

c. 7/8, 7 out of 8 for the four possible occurrences.; 1

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