Calculate the following probabilities using the standard normal distribution. Sketch the probability distribution in each table case, shading in the area of the calculated probability.
(a) Pr(Z < 0.0)
(b) Pr(Z \leq1.0)
(c) Pr(Z > 1.96)
(d) Pr(Z < –2.0)
(e) Pr(Z > 1.645)
(F) Pr(Z > –1.645)
(g) Pr(–1.96 < Z < 1.96)
(h) Pr(Z < 2.576 or Z > 2.576)
(i) Pr(Z > z) = 0.10; find z.
(j) Pr(Z < -z or Z > z) = 0.05; find z.