2. A certain brand of paint sells cans in which the volume of paint follows a normal distribution with a mean of 946 mL and a standard deviation of 5.5 mL. a) Find the percentage of cans with volume above 950 mL. (3 marks) b) Find the percentage of cans whose volume is between 940 mL and 950 mL. (4 marks). c) Determine the 30th percentile for the volume of paint. (3 marks) 1 STAT 151 Assignment 3 d) Determine the volume that marks the top 5% of volumes above cans of paint. (3 marks) e) A can is rejected by the quality control department if it contains less than 935 mL. What percentage of cans are rejected? (3 marks) f) A can is rejected by the quality control department if it contains less than 935 mL. Compute the probability of at least one rejection among a random sample of 3 cans of paint. (5 marks)