A population of values has a normal distribution with=247 and= 62.2. You intend to draw a random sample of sizen=16.

a) Find the probability that a single randomly selected value is greater than 295.2.

P(X> 295.2) =____

b) Find the probability that a sample of sizen= 16 is randomly selected with a mean greater than 295.2.

P(M> 295.2) = ____

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.