Heights of 10 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 10 year old is shorter than 48 inches? (b) What is the probability that a randomly chosen 10 year old is between 60 and 65 inches? (c) If the tallest 10% of the class is considered “very tall”, what is the height cuto↵ for “very tall”? (d) The height requirement for Batman the Ride at Six Flags Magic Mountain is 54 inches. What percent of 10 year olds cannot go on this ride?
Heights of 10 year olds, regardless of gender, closely follow a
(a) What is the probability that a randomly chosen 10 year old is shorter than 48 inches?
(b) What is the probability that a randomly chosen 10 year old is between 60 and 65 inches?
(c) If the tallest 10% of the class is considered “very tall”, what is the height cuto↵ for “very
tall”?
(d) The height requirement for Batman the Ride at Six Flags Magic Mountain is 54 inches. What
percent of 10 year olds cannot go on this ride?
given data
normal distribution
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This solution does not answer the folowing question,
(a) What is the
(b) What is the probability that a randomly chosen 10 year old is between 60 and 65 inches?
(c) If the tallest 10% of the class is considered “very tall”, what is the height cuto↵ for “very
tall”?
(d) The height requirement for Batman the Ride at Six Flags Magic Mountain is 54 inches. What
percent of 10 year olds cannot go on this ride?
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