MDM 4U0 Unit 08 Assignment: Continuous Probability Distributions Page 2 of 3 [2] 13 The length of a late night infomercial on CITY TV is uniformly distributed between 15 and 35 minutes. Determine the probability that a randomly selected commercial will last 18 minutes or longer. Short Answer ... Answer all questions completely. Remember you have to convince me! Justify using concepts from this unit! [2] 1 On Susan's FACEBOOK page, there is a 42% chance that one of her friends will write on her wall. If she has 2400 "hits" on her page, can the probability that less than 1071 people write on her wall be modelled with a normal approximation? Explain/justify your answer. [3] 2 A class of 150 students took a final examination in science. The mean score was 72% and the standard deviation was 14%. Determine the percentile rank of a student who earned 89%.MDM 4U0 Unit 08 Assignment: Continuous Probability Distributions Page 3 of 3 [4] 4 The results on a final exam given by a university professor are normally distributed with a mean of 65.3% and standard deviation of 8.5. A student with a mark of 70% on the exam justified it to his parents and told them n one got over 80% on the exam. Should his parent's believe him? Explain your answer. Show all required calculations/commands. [4] 5 The masses of a rare breed of adult cats are normally distributed and have a mean mass of 4.2 kg with a standard deviation of 0.5 kg. An article in a pet magazine claims that 1 out of 40 such cats will have a mass of more than 5.2 kg. Is their claim reasonable? Explain/justify your