Given a normal distribution with =50 and =5, and given you select a sample of n=100, complete parts(a) through(d).

a. What is the probability that Upper X overbar

X is less than 49?

P( overbarX<49)=

b. What is the probability that Upper X overbar

X is between 49 and 49.5?

P(4949.5)=

c. What is the probability that Upper X overbar

X is above 50.2?

P(overbarX>50.2)=

d. There is a 40% chance that overbar X is above whatvalue?

overbarX=