1. 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.

1A ) Determine the 30th percentile for the volume of paint. (3 marks)

1B) Determine the volume that captures the top 5% of volumes among cans of paint. (3 marks)

1C) 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)