A Random Variable X Is Normally Distributed with Mean

question 50

Multiple Choice

A random variable X is Normally distributed with mean = 75 and = 8.Let Y be a second Normally distributed random variable with mean = 70 and = 12.It is also known that X and Y are independent of one another.Let W be a random variable that is the difference between X and Y (i.e. ,W = X - Y) .What can be said about the distribution of W?

• A)W is N(0,20)
• B)W is N(5,20)
• C)W is N(5,-4)
• D)W is N(5,14.4)
• E)W is N(0,14.4)

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Definitions:

Balance Sheet Columns

Columns in a balance sheet that categorize and display assets, liabilities, and equity balances at a specific point in time.

Net Income

The net income a business earns following the deduction of all costs, taxes, and expenses from its total revenue.

Adjusted Trial Balance

A list of all accounts and their balances after adjusting entries are made, used as the basis for preparing financial statements.

Ledger

A comprehensive collection of accounts that records all financial transactions of a business, categorized for reporting and analysis purposes.