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Suppose that there are two supervisors at Kardashian restaurant (Kim and Kylie), and the # of...

Suppose that there are two supervisors at Kardashian restaurant (Kim and Kylie), and the # of customer complaints differs based on the supervisor on duty. This is determined according to aPoisson process. The quality of service of one day does NOT affect the quality of service on the next day.

Supervisor on duty:

Average # of customer complaints (per day):

Days on duty (out of 5 days):

Kim

2 per day

2 out of 5 days

Kylie

3 per day

3 out of 5 days

Answer the following questions based on the information given above:

* please don’t copy other experts’ answer

i) Assuming that Kylie is on duty, solve for the expected # of customer complaints in the next 2 days.

ii) Assuming that Kylie is on duty, solve for the probability that there will be no customer complaints tomorrow.

iii) If there was AT LEAST 1 customer complaint yesterday, what's the probability that Kim was on duty?

iv) Solve for the probability that there will be no customer complaints in the next 2 days.

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