A population of values has a normal distribution with
\mu =85.7
and
\sigma =57.9
. You intend to draw a random sample of stze
n=47
. a. Find the probability that a single randomly selected value is less than 101.7 .
P(x<101.7)=
q,
Round to 4 decimal places. b. Find the probability that the sample mean is less than 101.7 .
P(x 101.7)=
◻
Round to 4 decimal places. Answers obtained using exact z -scores or z -scores rounded to 2 decimal places are accepted.