Question

9. Use the information in the table below to answer the following question. 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 Single Married 0 2 3 0.20 0.1 0.10 0.3 0.05 0.25 0.04 0.03 0.01 0.02 Using the above information, the expected value of the number of children in the household that the survey taker is married is given (Treat the 4+ category as 4.) I thought this was the way to solve this question BUT it doesnt give me any answer choices available. 0.9 1.3 1.6 2.3 C. ( 0 * 0.1) 0.97 (1 * .30) + (2%25) + (3*.03) + (4*.02) d. I would appreciate a demonstration on the proper way to solve this question. Thanks.

Answer 1

Solution:-

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

Hence the correct option is C = 1.6

Hope its helps you..