Question: Please show work. Thank you! Q2 2 Points The time between students pinging professor with questions during an exam is modeled by an exponential random

Please show work. Thank you!

Q2 2 Points The time between students pinging professor with questions during an exam is modeled by an exponential random variable X (measured in minutes) with parameter A (usual notation) Q2.1 1 Point Suppose A = 1/2. Compute the probability that professor can leave his desk for 5 minutes without missing a question. O 0.041 O 0.082 O 0.164 O 0.918 O 0.959 Save Answer Q2.2 1 Point What would A be so that the events (less than 3 minutes between questions] and {greater than 3 minutes between questions] are equally probable? O 0.597 O 1.675 O 0.231 O 4.328 O 2.079

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