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.

Question

Quizplus · Accepted Answer

The probability of getting exactly 19.62 when x is normally distributed with mean 12 and standard deviation 3 is essentially zero since the probability density function for a continuous distribution is continuous and the area under the curve for any specific value is zero. Therefore, the correct answer is A) 0.000.

X Is a Normally Distributed Random Variable with a Mean