3.10 Heights of 10 year olds: Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 5 inches. a) What is the probability that a randomly chosen 10 year old is shorter than 47 inches? (Keep 4 decimal places.) b) What is the probability that a randomly chosen 10 year old is between 61 and 64 inches? (Keep 4 decir places.) c) If the tallest 10% of the class is considered "ventall"

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3.10 Heights of 10 year olds: Heights of 10 year olds, regardless of gender, closely follow a normal
distribution with mean 55 inches and standard deviation 5 inches.
a) What is the probability that a randomly chosen 10 year old is shorter than 47 inches? (Keep 4 decimal
places.)
b) What is the probability that a randomly chosen 10 year old is between 61 and 64 inches? (Keep 4 decimal
places.)
c) If the tallest 10% of the class is considered "very tall", what is the height cutoff for "very tall"? (Keep 2
decimal places.)
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? (Keep 2 decimal places.)
%
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Transcribed Image Text:Question 3 < > 3.10 Heights of 10 year olds: Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 5 inches. a) What is the probability that a randomly chosen 10 year old is shorter than 47 inches? (Keep 4 decimal places.) b) What is the probability that a randomly chosen 10 year old is between 61 and 64 inches? (Keep 4 decimal places.) c) If the tallest 10% of the class is considered "very tall", what is the height cutoff for "very tall"? (Keep 2 decimal places.) 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? (Keep 2 decimal places.) % Submit All Parts
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