Heights of ten year olds, regardless of gender, closely follow a normal distribution with mean = 55 inches and standard deviation = 6 inches. (a) What is the probability that a randomly chosen ten year old is shorter than 50 inches? (b) What is the probability that a randomly chosen ten year old is taller than 70 inches? (c) What is the probability that a randomly chosen ten year old is between 60 and 65 inches? (d) What is the height cutoff for the tallest 5% of ten year olds (the 95th percentile)? (e) What is the height cutoff for the shortest 25% of ten year olds (the 25th percentile)?