Consider a random variable (r.v.) X ~ N (8, 16). State whether the following statements are true

Question:

Consider a random variable (r.v.) X ~ N (8, 16). State whether the following statements are true or false:
a. The probability of obtaining an X value of greater than 12 is about 0.16.
b. The probability of obtaining an X value between 12 and 14 is about 0.09.
c. The probability that an X value is more than 2.5 standard deviations from the mean value is 0.0062.