14 Select the correct answer. A supply of soaps available at different prices is given by the supply curve s = 1804 1 212. where x is the product quantity. If the selling price is $250, find the producer surplus. O A. $1256.80 O B. $1365.77 O C. $1591.84 OD. $1827.7616 Select the correct answer. You invest in a fund and it is expected to generate $3,000 per year for the next 5 years. Find the present value of the investment if the intere rate is 4% per year compounded continuously. O A. $3,664.21 O B. $13,595.25 O C. $14,135.00 O D. $15,000.0017 Select the correct answer. The average time to get your order at a restaurant is 15 minutes. What is probability that you will receive your order in the first 10 minutes? -X Note: P(a s X sb) = -e15 ox where u is the average value. O A. 0. 294 O B. 0.473 O C. 0.487 O D. 0. 87218 Select the correct answer. A geologist finds out that a radioactive substance A that he found in the caves of Africa decays at a rate of 0.03 percent every year. What is th probability that an atom of this substance chosen at random will decay in the next 70 years? O A. 0.0208 O B. 0.0265 O C. 0.0421 O D. 0.046519 Select the correct answer. The scores of a mid term exam are distributed normally with mean 70 and standard deviation 15. What percentage of students would have t score between 60 and 75? (x-2)2 PlasX sb) = (20') by: where u is the average value. O A. 0.157 O B. 0.187 O C. 0.378 O D. 0.562H] Select 111?. correct answer. For what constant it Is x) = Ire x" a probability denslty function on [0.1]? O A. {1.632 O C. 1.9312 0 D. 2.2241