Given a normal distribution with μ = 47 and σ = 4, complete parts (a) through (d).
a. What is the probability that X > 42?
P(X > 42) = ______
(Round to four decimal places as needed.)
b. What is the probability that X < 39?
P(X < 39) = _____
(Round to four decimal places as needed.)
c. For this distribution, 99% of the values are less than what X-value?
X = ______ (Round to the nearest integer as needed.)
d. Between what two X-values (symmetrically distributed around the mean) are 80% of the values?
For this distribution, 80% of the values are between X = and X = _____ (Round to the nearest integer as needed.)