Find f'(x). f(x) = - 12 In x + 11x - 11

Suppose x~n(8,9). What value of x is 0.67 standard deviations to the left of the mean?

Although 23 states barred the self-service sale of gasoline in 1968, most removed the bans by the mid-1970s. By 1992, self-service outlets sold nearly 80% of all US gas, and only New Jersey and Oregon continued to ban self- service sales. Using predictive value for self-service sales for New Jersey and Oregon Johnson and Romeo (2000) estimate that the ban in those two states raised the price by approximately $.03-$.05 per gallon. Why did the ban effect the price? Illustrate using a figure and explain. Show the welfare effects in your figure. Use a table to show who gains or loses.

Suppose we are again given 20 tulip bulbs that are very similar in appearance. Information on this new set of tulips is summarized below: Early (E) Late (L) Totals Red (R) Yellow (Y) Totals 5 5 10 5 5 10 10 10 20 What is P(Y)? (Enter the probability with two decimal places)