Final answer:
A smaller standard deviation results in a skinnier curve that is tighter and taller around the mean in a normal probability distribution.
Step-by-step explanation:
For a normal probability distribution, a smaller standard deviation results in a skinnier curve that is tighter and taller around the mean. The normal distribution is a continuous distribution that is bell-shaped, and it is used in various disciplines. The standard deviation determines the spread of the distribution, so a smaller standard deviation makes the curve narrower.