1. Intergalactic scientists recruited by the Rebellion were tasked with studying midi-chlorian levels in children and young adults (aged 5 to 25). Midi-chlorian counts are linked to sensitivity to The Force and may confer extraordinary abilities. Normal "Human" midi-chlorian levels average approximately 2,500 per cell and much higher levels of midi-chlorian are observed in Jedi. Using a large and random sample, these scientists determine that the standard deviation of mid-chlorian counts is approximately 625 per cell. These Rebel Scientists wish to identify individuals with sufficient Force sensitivity (i.e., potential to be trained as new Jedi) and have declared that for now, only Humans with a z-score of at least 2.4 may qualify.

a) What is the minimum mid-chlorian count that would be classified as being sufficiently Force-sensitive?

b) What proportion of the Human population can potentially be trained as new Jedi?

c) Midi-chlorian counts lower than 2,000 provide no sensitivity to the Force. What proportion of the Human population are therefore useless to train for the Jedi Order?

d) What assumptions must the Rebels make for these data to be accurate?