Group Exercise: Another Z-test

Let's say that we're studying household size in Kings County. The mean HH size is 4.2 persons, with a standard deviation of 1.8 persons.

You can compute the area under the normal curve here: http://www.stat.berkeley.edu/~stark/SticiGui/Text/clt.htm#normal_curve

What is the probability of:
(a) drawing a sample of 1,000 HHs with a mean size of 4.4 persons or more?
(b) drawing a sample of 900 HHs with a mean size between 4.5 and 5?
(c) drawing a sample of 1,500 HH with a mean size of 3.8 or less?
(d) drawing a sample of 600 HHs with a mean size of 4.1 or more?
(e) drawing a sample of 800 HHs with a mean size of 4.3 or less?
(f) drawing a sample of 1,200 HHs with a mean size between 4.4 and 4.6?