The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a random variable X having a continuous uniform distribution with A = 8 and B = 11. Find the probability that on a given day the amount of coffee dispensed by this machine will be (a) at most 9.5 liters; (b) more than 8.2 liters but less than 9.4 liters; (c) at least 8.9 liters. (a) The probability is (Simplify your answer.) (b) The probability is (Simplify your answer.) (c) The probability is (Simplify your answer.)

a. compute: 3 2k b. compute: I1² + 1 k=1

A class of n = 12 students takes an exam, and the class average is 80.  One student is allowed to take the exam late.  Once this late student’s exam is added in, the new class average is 81.5.  What was the score that the late student got on his exam?

Jordan and Amari run a 200-meter race, and Jordan wins by 13 meters. They decide to run the 200-meter race again with Jordan starting 13 meters behind the starting line. Find the correct answer to each of the following parts (a) through (d). O A. Jordan wins the second race because Jordan can run a longer distance in a longer amount time. O B. Amari wins the second race because Amari has a shorter distance to run. O C. Amari wins the second race because Jordan is not fast enough to be able to catch up in time. OD. Jordan wins the second race because Jordan can run a longer distance in a shorter amount of time. b. Suppose Jordan starts 8 meters behind the starting line in the second race. Who wins the race? O A. Amari wins the second race because Amari has a shorter distance to run. O B. Jordan wins the second race because Jordan can run faster than Amari. O C. Amari wins the second race because Jordan is not fast enough to be able to catch up in time. O D. Jordan wins the second race…