Given a normal distribution with μ = 54 and σ = 4, complete parts (a) through (d).
a. What is the probability that X > 47?
P(X > 47) = (Round to four decimal places as needed.)
b. What is the probability that X < 50?
P(X < 50) = (Round to four decimal places as needed.)
c. For this distribution, 10% 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.)