Homework: Proctored Test 2 Review (90% or better 5 extra ... Question 5, 5.2.9-T HW Score: 61.8%, 27.81 of 45 points Part 2 of 4 Points: 0.23 of 1 In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.2. Answer parts (a) (d) below. (a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 494. The probability that a randomly selected medical student who took the test had a total score that was less than 494 is 0.2782 (Round to four decimal places as needed.) (b) Find the probability that a randomly selected medical student who took the test had a total score that was between 500 and 512 The probability that a randomly selected medical student who took the test had a total score that was between 500 and 512 is (Round to four decimal places as needed.)