just need correct option for each question ( no explanation ), thanks. Question

Question

just need correct option for each question ( no explanation ), thanks.

Question 4 (1 point) Use the following information to answer questions 4 9 Suppose you have collected demographic information about households in your local area. The following table is the joint probability density function for the number of children under the age of 18 living in the household and the marriage status of the adult taking the survey Marriage Status/# of Children 0 Single Married 4+ 0.20 0.10 0.05 0.04 0.01 0.1 0.3 0.25 0.0 0.02 Using the information above, we can say that the marginal distribution of the survey taker being single is. 40 60 30 20S Save Question 5 (1 point) Using the information above, the marginal distribution of a household having two children is_ percent. 40 30 10

Explanation / Answer

( here above distributiuon i s wrong as sum of probabiliteis are greater than 1 which is not possible; you may ask your instructor to correct that ; however based on above information below is the solution)

4)

marginal distribution of single =0.2+0.1+0.05+0.04+0.01 =0.40~~ 40

5)marginal distribution of having two children =0.1+0.3 =0.40 ~ 40 percent

6)

P(2 children|married)=0.25/0.6 =0.4167~ 41.67

7)

xpected children =0*0.3+1*0.4+2*0.3+3*0.07+4*0.03 =1.3

8)

P(expected children|married)=0*(0.1/0.6)+1*(0.3/0.6)+2*(0.25/0.6)+3*(0.03/0.6)+4*(0.02/0.6)=1.6

9)

varaince =E(X2)-(E(X))2 =2.71-1.32 =1.02

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