ot : & 2pts O 1 @ Details Note: For any part below, if it cannot be answered, enter DNE. Read the directions carefully and pay : attention to the different sample sizes. In this problem, round to 4 decimal places. 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 99.91 cm and a standard deviation of 0.15 cm. a) What is the probability of finding a meter stick with a length of more than 100.01 cm? S b) What is the probability of finding a group of 42 meter sticks with a mean length of less than 99.89 cm? c) What is the probability of finding a group of 40 meter sticks with a mean length of more than 99.92 cm? d) What is the probability of finding a group of 26 meter sticks with a mean length of between 99.89 and 99.92 cm? e) For a random sample of 24 meter sticks, what mean length would be at the 92nd percentile