Given a normal distribution with μ = 50 and σ = 8, and given you select a sample of n = 100, complete parts (a) through (d). a. What is the probability that X̄ is less than 49? P(X̄ < 49) = (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X̄ is between 49 and 49.5? P(49 < X̄ < 49.5) = (Type an integer or decimal rounded to four decimal places as needed.) c. What is the probability that X̄ is above 50.7? P(X̄ > 50.7) = (Type an integer or decimal rounded to four decimal places as needed.) d. There is a 35% chance that X̄ is above what value? X̄ = (Type an integer or decimal rounded to two decimal places as needed.)