sexist: sex of the first child (0 corresponds to male and 1 to female). sex2nd: sex of the second child (0 corresponds to male and 1 to female). ageq2nd: age in quarters of the second child. ageq3rd: age in quarters of the third child. numberkids: number of children in the household. Load the data into R, follow our instructions, and answer the following questions. Question 1 Use the command summary to summarize the variables in the data. Using your output, fill in the following information: Please round all answers to the second decimal place, i.e. if the answer is 6.6728, round to 6.67 and if it is 6.6788, round to 6.68. a. Fraction of mothers that work b. 3" quartile of weeks worked c. Proportion of Hispanic mothers d. Median age of the second child in quarters Question 2 Use the variable ageq2nd and the variable ageq3rd to construct an indicator variable on whether there was a multiple pregnancy during the mother's second pregnancy. What is the proportion of households with a multiple pregnancy in the second pregnancy? Please round your answer to the fourth decimal place, i.e. if your answer is 0.12435, please round to 0.1244, and if it is 0.12433, please round to 0.1243. Question 3 Use the variable sexist and sex2nd to construct an indicator variable on whether the first and second born children have the same sex. What is the proportion of households in which the first two children have the same sex? Please provide your answer to the fourth decimal place, ie. exactly how it appears in the output. Now let's set up the model we want to estimate. In particular, we are interested in estimating the following equation