Probabilities using the standard normal distribution

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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.

Reference no: EM13688696

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