Good morning :) this is a test and I have 30 minutes to answer.

Note: For any part below, if it cannot be answered, enter NA. A quality control company was hired to study the length of meter sticks produced by a certain company. The team carefully measured the length of many many meter sticks, and the distribution seems to be slightly skewed to the right with a mean of 99.81 cm and a standard deviation of 0.2 cm. a) What is the probability of finding a meter stick with a length of more than 99.96 cm? b) What is the probability of finding a group of 36 meter sticks with a mean length of less than 99.79 cm? c) What is the probability of finding a group of 44 meter sticks with a mean length of more than 99.83 cm? d) What is the probability of finding a group of 42 meter sticks with a mean length of between 99.79 and 99.83 cm? e) For a random sample of 30 meter sticks, what mean length would be at the 92nd percentile