Question

Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55.5 inches and standard deviation 5.5 inches.

(a) What is the probability that a randomly chosen 10 year old is shorter than 50 inches?
(b) What is the probability that a randomly chosen 10 year old is between 49 and 62 inches?
(c) If the tallest 11% of the class is considered very tall, what is the height cutoff for very tall? inches
(d) Find a value k so that 25% of 10 year olds are within k inches of 55.5 inches tall. k=

(e) The height requirement for Batman the Ride at Six Flags Magic Mountain is 54 inches. (Children who are too tall cannot safely ride.) What percent of 10 year olds cannot go on this ride?

Answer 1