The daily caffeine intake in milligrams for adult women in a certain city is normally distributed with a mean of $180\text{ mg}$ and a standard deviation of $25\text{ mg}$. If a random sample of $36$ women is selected, what is the probability that their average daily caffeine intake is between $170\text{ mg}$ and $190\text{ mg}$?

• A. $0.0082$
• B. $0.9918$
• C. $0.9836$
• D. $0.0164$

Answer: (C)