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1) The mean service time at the Starbucks in Ross main building is 2.75 minutes. Assume the service time follows an exponential distribution.

Given that a customer has waited for 2 minutes, what is the probability the customer's service time is less than 5 minutes (total time)? Choose closest to the correct answer option.

Answer: 0.66

2) The mean service time at the Starbucks in Ross main building is 2.75 minutes. Assume the service time follows an exponential distribution.

Given that a customer's service has started 1 minute ago, what is the probability that this customer's service time is longer than 3 minutes (total time)? Please round to two decimal digits. Answer: 0.48

3) The mean service time at the Starbucks in Ross main building is 2.75 minutes. Assume the service time follows an exponential distribution.

What is the probability Starbucks serves 25 or more people in an hour? Choose the option closest to your answer. Answer: 0.27

4) More than 60 million guests stay at bed and breakfasts each year. The website for the Bed and Breakfast Inns of North America, which has an expected number of approximately 6 visitors per minute, enables many B&Bs to attract guests. Assume the number of visitors follows a Poisson distribution.

Compute the probability of 0 people visiting the website in a 1-minute period. Choose the option closest to your answer.

Group of answer choices

a) 0.009

b) 0.002

c)0.007

d) 0.005

5) More than 60 million guests stay at bed and breakfasts each year. The website for the Bed and Breakfast Inns of North America, which has an expected number of approximately 6 visitors per minute, enables many B&Bs to attract guests. Assume the number of visitors follows a Poisson distribution.

Compute the probability of 3 or more website visitors in a 1-minute period. Choose the option closest to your answer. ANSWER: 0.94

6) More than 60 million guests stay at bed and breakfasts each year. The web site for the Bed and Breakfast Inns of North America, which has an expected number of approximately 6 visitors per minute, enables many B&Bs to attract guests. Assume the number of visitors follows a Poisson distribution.

What is the probability the next visitor to the website arrives in the next 5 seconds? Choose the option closest to your answer. Answer: 0.39