1. Find out the following probabilities where Z follows standard Normal distribution:
a) P(Z > -0.8)
b) P(Z > 1.32)
c) P(Z < 2.22)
d) P(Z > -1.3)
e) P(-0.4 < Z < 2.13)
f) P(1.15 < Z < 3.1)
g) P(Z< 1 or Z >2)
2. Assume the commuting time for people who work in the New York City is normally distributed with average of 42.3 minutes and standard deviation of 8.5 minutes.
a) Find out the probability that a randomly selected worker in New York City would have the commute time that exceeds one hour?
b) Find out the probability that randomly selected worker in New York City would have the commute time that is between 35 and 55 minutes?