16 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 interest rate is 4% per year compounded continuously. O A. $3,664.21 0 B. $13,595.25 0 C. $14,135.00 0 D. $15,000.00 17 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? -6 1 x Note: P(a s X sb) = \\ -e15 dx where u is the average value. Ja u O A. 0. 294 O B. 0.473 OC. 0.487 OD. 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 the 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 the score between 60 and 1'5? {xBJZ Pia e X sill] = 1 a [262) d): . where u is the average value. ear-JEN O A. 0.15? O B. 0.18? O C. 0.3?3 O D. 0.562 20 Select the correct answer. For what constant kis ((x) = ke *-a probability density function on [0,1]? O A. 0.632 OB. 1.5819 OC. 1.9312 OD. 2.2241