Five hundred children participated in a field demonstration. Their heights averaged 110cm with a standard deviation of 6cm.

1. What is the probability that a child picked at random has a height greater than 116cm?

2. What is the probability that the height of a child picked at random is less than 104cm?

3. What is the probability that the height of a child picked at random is between 110cm and 122cm?

4. How many children have heights between 98 and 104cm?

5. How many children belong to the upper 15% of the group?​