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Calculate the following probabilities using the standard normal distribution. Sketch the probability distribution in each case, shading in the area of the calculated probability.
(a)Pr(Z < 0.0)
(b)Pr(Z ≤ 1.0)
(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.
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