Cars arrive randomly at an intersection with an average rate of 50 cars per hour. The likelihood,

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Cars arrive randomly at an intersection with an average rate of 50 cars per hour. The likelihood, or probability, that at least one car will enter the intersection within a period of x minutes can be estimated by P(x) = 1 - e-5x/6 

(a) Find the likelihood that at least one car enters the intersection during a 3-minute period. 

(b) Graphically determine the value of x that gives a 50-50 chance of at least one car entering the intersection during an interval of x minutes.

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