Question: Part A-Lecture Component 1. (2 marks) Assume that the random variable under consideration has a density curve that has an area of 0.425 to the

Part A-Lecture Component 1. (2 marks) Assume that the random variable under consideration has a density curve that has an area of 0.425 to the left of 16 and an area of 0.395 to the right of 21. What is the size of the area between 16 and 21? 2. (4 marks) With respect to the standard normal distribution. a) Determine the 3rd quartile. (2 marks) b) Determine the z-score that marks the upper 2.8% of the distribution. (2 marks) Stat 151-Assignment 3 2 3. (20 marks) A pharmaceutical company manufactures bottles of a certain medicine. The ml in the bottles follows a normal distribution with a mean of 100 ml and a standard deviation of 2 ml. a) Find the percentage of medicine bottles that contain more than 102.5 ml of the medicine. (3 marks) b) Find the percentage of medicine bottles containing between 98 ml and 102 ml. (3 marks) c) Determine the 1st percentile of the distribution of ml for the medicine bottles. (3 marks) d) Above what ml are the top 2% of mls among the medicine bottles? (3 marks) e) If a medicine bottle contains no more than 95 ml of the medicine, it is

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