If the Random Variable X Is Uniformly Distributed Over the Interval

question 116

Essay

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:

Cyclohexane

A saturated hydrocarbon with the chemical formula C6H12, commonly used as a solvent or in the manufacture of other chemicals.

Methylcyclohexane

A saturated hydrocarbon with the formula C7H14, characterized by a methyl group attached to a cyclohexane ring, used as a solvent and in organic synthesis.

Cycloheptane

A cyclic alkane with the molecular formula C7H14, consisting of a ring of seven carbon atoms.

Phenol

An aromatic organic compound with the formula C6H5OH, used as an antiseptic and a raw material in the synthesis of plastics.