Convert an area from one normal distribution to an equivalent area for a different normal distribution. Show calculations and draw sketches of both distributions, label endpoints, and shade the regions on both curves.

1) The area to the left of 16 for N(20,3) distribution converted to a standard normal distribution.

2)The "Q1" for a standard normal distribution converted to a N(15, 2.5)distribution.

3) The area to the right of 50 in a N(40,8) distriution converted to a standard normal distribution.

4) The middle 90% for a standard normal distribution converted to a N(45,15) distribution.