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Please help me with this problem and NEEDED ALL PARTS WITH CLEAR HAND WRITTEN ONLY. PLEASE REMEMBER ONLY CLEAR HANDWRITTEN SOLUTION PLEASE.. Will be highly

Please help me with this problem and NEEDED ALL PARTS WITH CLEAR HAND WRITTEN ONLY. PLEASE REMEMBER ONLY CLEAR HANDWRITTEN SOLUTION PLEASE.. Will be highly appreciated

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5. During a take-home exam, student emails arrive at a teacher's inbox according to a Poisson process with mean 40 emails per hour. (a) The teacher is desperate for a break. If they go for a one minute walk outside. what is the probability that at least one email will arrive during that time? (b) How long can the teacher's walk he in order to keep the probability that no emails arrive during that time at least 0.6

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