A population of values has a normal distribution with $\displaystyle \mu={235.1}$ and $\displaystyle \sigma={3.7}$. You intend to draw a random sample of size $\displaystyle {n}={236}$.

1. Find the probability that a single randomly selected value is between 234.7 and 235.3.
   P(234.7 < X < 235.3) = Round to 4 decimal places.
   
   
2. Find the probability that the sample mean is between 234.7 and 235.3.
   P(234.7 < $\displaystyle \overline{{X}}$ < 235.3) = Round to 4 decimal places.

 Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted.