Texts: Given a normal distribution with μ=51 and σ=8, and given you select a sample of n=100, complete parts (a) to (d).
Part 1a. What is the probability that X bar is less than 49?
P(X bar < 49) = (Type an integer or decimal rounded to four decimal places as needed.)
Part 2b. What is the probability that X bar is between 49 and 51.5?
P(49 < X bar < 51.5) = (Type an integer or decimal rounded to four decimal places as needed.)
Part 3c. What is the probability that X bar is above 51.3?
P(X bar > 51.3) = (Type an integer or decimal rounded to four decimal places as needed.)
Part 4d. There is a 35% chance that X bar is above what value?
X bar = (Type an integer or decimal rounded to two decimal places as needed.)