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.

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Definitions:

Periodic Interest Rate

The interest rate applied to a loan or savings account over a specific period of time, often monthly or annually.

Payment Interval

Payment interval is the frequency at which recurring payments are made, such as monthly, quarterly, or annually for loans, rents, or subscriptions.

Compounded Annually

This refers to the process by which the interest earned on an investment or savings is calculated once a year, adding to the principal for the next year's interest calculation.

Periodic Interest Rate

This is the interest rate charged or earned over a particular period of time, often calculated based on the annual interest rate.