If the Random Variable X Is Uniformly Distributed Over the Interval

question 37

Short Answer

If the random variable X is uniformly distributed over the interval 10 $\leq$ x $\leq$ 50, find the following probabilities.
a. $P ( X \geq 30 )$
b. $P ( X \leq 25 )$
c. $P ( 18 \leq X \leq 35 )$
d. $P ( X = 40 )$

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Definitions:

Residual Volume

Residual volume is the amount of air remaining in the lungs after a forceful expiration, ensuring that the lungs do not collapse.

Bell Jar

A piece of laboratory equipment resembling a bell, typically made of glass, used to create vacuums or to contain gases.

Human Lungs

The human lungs are a pair of large, spongy organs located in the chest, responsible for gas exchange between the blood and the environment.

Rubber Covering

A protective layer made of rubber material, used to enhance grip, insulation, or waterproofing of objects.