For a normal random variable X with mean 70 and standard deviation 10.
(a) Calculate the probability that 60 < X < 80.
(b) Calculate the probability that X = 80.
(c) Calculate the probability of the event {X<60 or X >80}.
(d) On a statistics exam with grades normally distributed with mean 70 and standard deviation 10. To pass, students have to score in the 70th percentile or better, what is the minimum score necessary to pass?