Question

In: Statistics and Probability

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 a Poisson process, and 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:

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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