If X Is a Normal Random Variable with a Mean $P ( X \geq 50 )$

question 66

Essay

If X is a normal random variable with a mean of 45 and a standard deviation of 8, find the following probabilities:
a. $P ( X \geq 50 )$
b. $P ( X \leq 32 )$
c. $P ( 37 \leq X \leq 48 )$
d. $P ( 50 \leq X \leq 60 )$
e. $P ( X = 45 )$

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Definitions:

Straight-Line Depreciation

A method of allocating the cost of a tangible asset evenly over its useful life.

Residual Value

The estimated value of an asset at the end of its useful life, often considered in depreciation calculations.

Depreciation Expense

The cost allocated to reflect the reduction in value of a tangible asset over its useful life, as part of the wear and tear or obsolescence.

Depreciation

A method of allocating the cost of a physical or tangible asset over its expected usable life to account for decreases in value over time.