A Random Variable X Is Uniformly Distributed Between 45 and 150

question 8

Essay

A random variable X is uniformly distributed between 45 and 150.
a.Determine the probability of X = 48.
b.What is the probability of X $\le$ 60?
c.What is the probability of X $\ge$ 50?
d.Determine the expected vale of X and its standard deviation.

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Definitions:

Current Tax Expense

The amount of income taxes a company is expected to pay in the current year, reflecting its taxable earnings.

Pre-Tax Book Income

The income of a company before taxes are applied, calculated according to accounting standards.

Tax Depreciation

A tax deduction that allows a company to recover the cost of property or assets it has purchased by reducing taxable income.

Book Depreciation

Book depreciation is the portion of the cost of a fixed asset that is written off annually on the financial statements of a company over the useful life of that asset, according to accounting standards.