Port 1. The Norma! Distribution 1. What does a z-score measure? 2. Consider a normal distribution with a mean of5 and a standard deviation of 0.75. Use this to find 01: 02! and 93' 3. Consider a normal distribution with a mean of 17 and a standard deviation of 2. What is the z- score for x=18? 4. The longevity of MathBeats headphones is normally distributed with a mean of 5.2 years and a standard deviation of 1.1 years. (Longevity, in this case, is the amount of time these headphones function until they break.) (a) What is the probability that your headphones last at least 6 years? Include a sketch of this situation on an appropriately labeled bell-curve. (b) MathBeats includes a 3-year warranty on all of their headphones. They will replace any headphones that break before the 3 year mark with a new set. What is the probability that you will need this warranty? Include a sketch ofthis situation on an appropriately labeled bell curve