The historic returns on a balanced portfolio follow a normal distribution and have had an average return of 8% and a standard deviation of 13%. you will need excel for some of these questions. round all answers to at least 2 decimal places 1. if you see a return of 23%, what is the z-score of this value? 2. using excel, find the probability of seeing a return greater than 23%. 3. are you more likely to see a return less than -10.2% or greater than 30.1%? greater than 30.1% less than -10.2% 4. using excel, find the z-score that corresponds with the 20th percentile. z= 5. using the above, what is the 20th percentile for returns? % 6. the middle 60% of returns fall between what two numbers? % and % (write the smaller number first)