[Step-by-Step] ER Arrivals Consider the exponential density function discussed in Example 6: e(t)=0.2 e^-0.2 t \text when t ≥q 0 where t is the time
Question: ER Arrivals Consider the exponential density function discussed in Example 6:
\[e(t)=0.2 e^{-0.2 t} \quad \text { when } t \geq 0\]where \(t\) is the time in minutes between successive arrivals at an emergency room in a large hospital on Saturday nights.
- Find the probability that successive arrivals are between 20 and 30 minutes apart.
- Find the probability that 10 minutes or less elapses between successive arrivals.
- Find the probability that successive arrivals will be more than 15 minutes apart.
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