Calculate the Following Probabilities Using the Standard Normal Distribution

question 45

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)
(i. )Pr(Z > z)= 0.10;find z.
(j. )Pr(Z < -z or Z > z)= 0.05;find z.

---

Definitions:

Disposable Income

Financial assets available to households for expenditure and savings after income taxes.

Inventory Investment

The net change in physical inventory levels for businesses over a certain period, indicating how much companies are spending to stock goods.

Inventory

The complete quantity of products and materials kept in inventory by a company, meant for sale or to be used in manufacturing.

Interest Rate

The piece of a loan that accumulates interest for the borrower, often specified as a yearly percentage of the loan's existing outstanding balance.