X is a normally distributed random variable with a mean of 1

X is a normally distributed random variable with a mean of 12 and a standard deviation of 3. The probability that X equals 19.62 is

A. 0.000                       B. 0.0055                 C. 0.4945                    D. 0.9945

Solution

For randomly distributed variables, the probability of a point number (not an interval) is

OPTION A: 0.000

[As it has 0 width. We need an interval to get a nonzero probability.]