The document provides solutions to calculating probabilities for a normally distributed random variable X with a mean of 80 and standard deviation of 5. (1) It finds the probability that X is greater than 95 by converting to the standard normal variable Z and using normal distribution tables. (2) It calculates the probability that X is less than 72 by again converting to Z and using tables. (3) It determines the probability that X is between 60.5 and 90 by breaking it into separate probabilities and adding the areas under the normal curve.