Child heights. Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. (a) If the tallest 8% of the class is considered "very tall", what is the height cutoff for "very tall"? (please round to one decimal place) (b) The height requirement for Batman the Ride at Six Flags Magic Mountain is 56 inches. What proportion of 10 year olds cannot go on this ride? In other words, what is probability a random 10 year old is below 56 inches? Note this question is not a percentile question. (Use three significant figures.)

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