Answer the following questions correctly.,,,

A service station near an interstate highway sells three grades of gasoline: regular, plus, and premium. During the last week, the manager counted the number of cars that purchased these types of gasoline. He kept the counts separate for weekdays and the weekend. The accompanying data table has two categorical variables. One distinguishes weekdays from weekends, and the other indicates the type of gas (regular, plus, or premium). Complete parts (a) through (e) below. Click the icon to view the data table. Day of Week Weekday Weekend Total Premium 36 21 57 Gas Type Plus 23 11 34 Regular 92 38 130 Total 151 70 221 (b) Find the conditional distribution of purchase type for weekday purchases. Complete the table below. Weekday Premium % Gas Type Plus % Regular % (Round to one decimal place as needed.)An economy produces with the production technology T = F\"; EL] = K' {EL]\"2}3, where E is a labor augmenting technology. Population grows at 2% per year and E grows at 3% per year. The depreciation rate is 5% and the saving rate is 40%. The economy is in steady state. a. What is the growth rate of each of the following: KIEL, WEL, EL, V, WL. KEY, C b. At what rate do wages and the capital rerrtal rate grow? c. Find the steady state value of capital per effective worker d. In 214. L = IUD and E = 1:]. Find total output in 2014 and 2:115. e. If the economy wants to maximize consumption, should it save more or less? Find the consumption maximizing saving rate. f. Now assume a hurricane hits in 2014 and reduces labor to 9G. What happens to steady state output and capital {per effective worker]? What happens to output and capital today [both per effective worker and total}? What about their growth rates? g. Another country uses the same production technology, has the same level of total capital, but has fewer workers. If there is free mobility across countries [so wage rates are equalized}, what can we say about the value of E in the other country