X has a normal distribution with a mean of 75.0 and a standard deviation of 2.5. Find the following probabilities:
i. P(x < 70.0)
ii. P(72.5 < x < 80.0)
iii. P(x >82.5)
Normal distributions and probabilities are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.