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The heights of children two years old are normally distributed with a mean of 80cm and a standard deviation of 3.6cm. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights.

a. Determine the heights of two-year old children that could be a problem.

b. Fund the probability of these events

i. A two-year old child is taller than 90 cm

ii. A two-year old child is shorter than 85 cm

iii. A two-year old child is between 75 and 85 cm

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closed as off-topic by Glen_b Jan 12 at 5:54

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  • $\begingroup$ see help center in relation to homework-style questions (whether or not they're actually homework). $\endgroup$ – Glen_b Jan 12 at 5:55

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