Assume we have a normally distributed variable with a mean of 30 and a standard deviation of 5.

1. What is the mode of the distribution

2. What proportion of observation will fall below 30? (In proportion and percentage)

3. 66% of all of the observations will fall within what range?

4. 95% of all of the observations would fall within what range?

5. What proportion of observations would fall above 40? Below 20%?