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In: Statistics and Probability

Heights of 10 year olds. Heights of 10 year olds, regardless of gender, closely follow a...

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 6 inches. Round all answers to four decimal places.

1. What is the probability that a randomly chosen 10 year old is shorter than 57 inches?

2. What is the probability that a randomly chosen 10 year old is between 50 and 52 inches?

3. If the tallest 15% of the class is considered very tall, what is the height cutoff for very tall? inches

4. What is the height of a 10 year old who is at the 39 th percentile? inches

5. In order to ride the Great Chase ride at Six Flags America, a person must be no shorter than 42 inches. What proportion of 10 year olds cannot go on this ride?

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