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.
What will be an ideal response?
Answer:
(a) 0.5000;
(b) 0.8413;
(c) 0.0250;
(d) 0.0228;
(e) 0.0500;
(f) 0.9500;
(g) 0.0500;
(h) 0.0100;
(i) 1.2816;
(j) 1.96.
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