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Algebra
Question

A bank manager knows that between 3:00 p.m. and 5:...

A bank manager knows that between 3:00 p.m. and 5:00 p.m., \( 12 \) people arrive per hour (that's \( 0.20 \) people per minute). The following formula from statistics gives the likelihood that a person will arrive within \( t \) minutes of \( 3 : 00 \) p.m. 

\(F ( t ) = 1 - e ^ { - 0.20 t }\)

(a) Find the likelihood that a person will arrive within \( 30 \) minutes of \( 3 \) p.m. The likelihood that a person will arrive within \( 30 \) minutes of \( 3 p . m \) . is \( \square \% \) . (Type an integer or decimal rounded to the nearest tenth as needed.) 

Answer

99.8

Solution
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