Heights for preschool aged students are approximately normally distributed with a mean of 40 inches and...

Heights for preschool aged students are approximately normally distributed with a mean of 40 inches and a standard deviation of 2.3. Lilly is a preschool student who is 43.5 inches tall.

A. Using the empirical rule, what percent of preschool aged students are between 37.7 inches tall and 46.9 inches tall? Do not round your answer. Make sure your answer includes a percent sign. 93.57%

B. Using the standard normal distribution table, what proportion of preschool aged students are shorter than Lilly? Do not round your answer from the table. .68

C. Using the standard normal distribution table, what proportion of preschool aged students are taller than Lilly? Do not round your answer from the table.

D. Sophie is also a preschool aged student. Her doctor tells her parents that Sophie's height is in the 23rd percentile. What is Sophie's height? Do not round your answer.

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orchestra answered 1 year ago

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