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Please reply to the following attachments Previous Problem Problem List Next Problem (1 point) Heights of 10 year olds, regardless of gender, closely follow a

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Previous Problem Problem List Next Problem (1 point) 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? (please respond to 2 decimal places, or use exact fractions) answer. b) What is the probability that a randomly chosen 10 year old is between 60 and 65 inches? (again, 2 decimal places, or use exact fractions) answer. c) If the tallest 10% of the class is considered "very tall", what is the height cutoff for "very tall"? (Yep, 2 decimal places, or use exact fractions) answer. inches 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? (Respond to 2 decimal places, do not include percent symbol) answer. %(1 point) Find the value of the standard normal random variable z, called zo such that: (a) P(z 20) = 0.1089 ZO (e) P(-20

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