The length of metal rods produced by a certain company have a normal distribution with a mean of 1.78 m and a standard deviation of 0.02 m. a) Find the probability that a randomly selected rod will have a length between 1.76 and 1.81m. b) If 20 rods are selected, what is the probability that the mean length of the sample will be greater than 1.79 m c) What is the length that represents the 25th percentile? d) What is the length that separated the top 40% of the lengths from the rest? e) What is the length that separates the bottom 10% from the rest? () What is the length representing the third quartile