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


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

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "Self-study questions (including textbook exercises, old exam papers, and homework) that seek to understand the concepts are welcome, but those that demand a solution need to indicate clearly at what step help or advice are needed. For help writing a good self-study question, please visit the meta pages." – Glen_b
If this question can be reworded to fit the rules in the help center, please edit the question.

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

Browse other questions tagged or ask your own question.