Calculate the Following Probabilities Using the Standard Normal Distribution

question 5

Essay

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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Definitions:

Variable Costs

Costs that change directly in proportion to changes in the level of production or activity within a business.

Fixed Costs

Costs that do not change with the level of output or production, such as rent, salaries, or loan payments.

Fixed Costs

Costs that do not vary with the level of output or production, such as rent, salaries, and loan payments.

Variable Costs

Costs that vary directly with the level of production or output.