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Buses Arrive and Depart from a College Every 25 Minutes f(t)=125f ( t ) = \frac { 1 } { 25 }

question 15

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Buses arrive and depart from a college every 25 minutes. The probability density function for the waiting time t (in minutes) for a person arriving at the bus stop is f(t) =125f ( t ) = \frac { 1 } { 25 } on the interval [0,25][ 0,25 ] . Find the probability that the person will wait no longer than 10 minutes.

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Definitions:

Penicillins

A group of antibiotics derived from Penicillium fungi, effective against a wide range of bacterial infections by inhibiting cell wall synthesis.

Cephalosporins

A class of β-lactam antibiotics derived from Acremonium, which are effective against a wide range of bacterial infections.

Acetic Anhydride

A reagent characterized by the formula (CH3CO)2O, used for acetylation reactions in organic synthesis to introduce acetyl groups to substrates.

Acetyl Chloride

A reactive organic compound, marked by the chemical formula CH3COCl, used in acetylation reactions to introduce acetyl groups into other molecules.

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