When a Road Crew Inspects a Road That Hasn't Been $\mathrm { e } ^ { \mathrm {b} }$

question 8

Short Answer

When a road crew inspects a road that hasn't been worked on for several years, then the distance between necessary repairs is an exponential random variable with a mean of 0.25 miles. What is the probability that the crew will find a mile long stretch of road that does not need repairs? Enter your answer as just $\mathrm { e } ^ { \mathrm {b} }$ .

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Definitions:

Better-educated

Referring to individuals who have attained a higher level of education, usually implying a greater depth of knowledge or expertise.

Extraverted

Describes a personality trait characterized by sociability, talkativeness, assertiveness, and high levels of emotional expressiveness.

Interpreting Sarcasm

The cognitive ability to detect and understand the use of sarcasm, where the intended meaning of a statement is often the opposite of its literal meaning.

Humour

encompasses the quality of being amusing or comical, often facilitating laughter or providing entertainment.