A population of values has a normal distribution with μ= 78.5 and σ= 33.5. You intend to draw a random sample of size n= 173

Find the probability that a single randomly selected value is less than 83.6
P(X < 83.6)=

Find the probability that a sample of size n=173 is randomly selected with a mean less than 83.6

Enter your answers accurate to 4 decimals. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.