A population of values has a normal distribution with μ=179 and σ=22.7. You intend to draw a random sample of size n=35.

Find the probability that a single randomly selected value from the population is greater than 186.7.

*P*(*X* > 186.7) =

Find the probability that a sample of size n=35 is randomly selected with a mean greater than 186.7.

*P*(*M* > 186.7) =

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