Question 2  please only answer a) In a hotel, a guest at a wedding pays 100 euros per person for an overnight stay and 10 euros for breakfast. If a guest uses the minibar, the cost is 12 euros. Experience has shown that wedding guests book as follows: • 80% book an overnight stay with breakfast • 15% also use the minibar in addition to the booked overnight stay with breakfast • 5% book an overnight stay without breakfast and do not use the minibar either a) A total of 80 guests have announced their wedding at the hotel. - What is the overall turnover of these guests? - Calculate a measure for the theoretical fluctuation in the turnover of a guest. What is your calculated measure? - What is the approximate probability that the total turnover of these guests is over 8,860 euros?

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Question 2 

please only answer a)

In a hotel, a guest at a wedding pays 100 euros per person for an overnight stay and 10 euros for breakfast. If a guest uses the minibar, the cost is 12 euros. Experience has shown that wedding guests book as follows:

• 80% book an overnight stay with breakfast

• 15% also use the minibar in addition to the booked overnight stay with breakfast

• 5% book an overnight stay without breakfast and do not use the minibar either

a) A total of 80 guests have announced their wedding at the hotel.

- What is the overall turnover of these guests?

- Calculate a measure for the theoretical fluctuation in the turnover of a guest. What is your calculated measure?

- What is the approximate probability that the total turnover of these guests is over 8,860 euros?

- What is the maximum total turnover of these guests with a probability of 93%?

b) The price for an overnight stay in the summer month of July changed as follows compared to the same period of the previous year:

July                              change

2019 2020 2021      +5% −20% −10%

By what percentage did the price change on average per year between July 2018 and July 2021?

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