If all the cars that are worth more than $X are appraised and all the cars that are worth less than $X are sold without appraisal, then if your car is worth $X, how much money would you get if you sold it without having it appraised? 

In equilibrium, what will be the total net revenue of all owners of used cars, after Rod's Garage has been paid for its appraisals?

If all the cars that are worth more than $X are appraised and all the cars that are worth less than $X are sold without appraisal, what will the market price of unappraised used cars be? (Hint: What is the expected value of a random draw from the set of cars worth less than $X?)

If nobody had their car appraised, what would be the total revenue received by used-car owners for their cars?

In equilibrium, there will be a car of marginal quality such that all cars better than this car will be appraised and all cars worse than this car will be sold without being appraised. The owner of this car will be just indifferent between selling his car unappraised and having it appraised. What will be the value of this marginal car?

In equilibrium, how many cars will be sold unappraised?

If all the cars that are worth more than $X are appraised and all the cars that are worth less than $X are sold without appraisal, then if your car is worth $X, how much money would you have left if you had it appraised and then sold it for its true value? 

If nobody had their car appraised, what would the market price for used cars in Tyrosh be?

ABC Explosives has purchased fire insurance for its factory. It can institute a fire prevention program, which would cost $90, but which would lower the probability of a fire from 0.01 to 0.001. The insurance company cannot determine whether ABC has instituted the program. However, it charges a deductible in the event of a fire (i.e. ABC has to pay a certain amount to the insurance company if a fire occurs). What is the smallest deductible that will encourage ABC to institute the fire prevention program?

In tumour cells relying on glutaminolysis

to replenish TCA cycle intermediates, which membrane transporter and enzymatic

pathway convert extracellular glutamine into α-ketoglutarate (α-KG)?