Question

The Krasnapolski is a top-of-the-line hotel in Amsterdam, the Netherlands. Among their many services, they rent bicycles to guests who arrive randomly throughout the day. They have 50 bikes, with 10 guests renting a bicycle each day during the spring season. Guests keep bicycles for four days on average, with a standard deviation of two days. On average, how many guests are waiting for a bicycle?

a. 5
b. 10
c. 15
d. 20

Answer 1

To calculate the average number of guests waiting for a bicycle at the Krasnapolski hotel, we subtract the average number of guests renting a bicycle each day from the total number of bikes available. The average number of guests renting a bicycle each day is 2.5, and the total number of bikes available is 50. Therefore, the average number of guests waiting for a bicycle is 48.

Step-by-step explanation:

To find the average number of guests waiting for a bicycle, we need to calculate the average number of guests renting a bicycle each day and subtract it from the total number of bikes available.

The average number of guests renting a bicycle each day can be found by dividing the total number of guests who rent a bicycle during the spring season by the number of days in the season. In this case, the total number of guests renting a bicycle is 10, and the spring season lasts 4 days. Therefore, the average number of guests renting a bicycle each day is 10/4 = 2.5.

To calculate the average number of guests waiting for a bicycle, we subtract the average number of guests renting a bicycle each day from the total number of bikes available. In this case, we have 50 bikes. Therefore, the average number of guests waiting for a bicycle is 50 - 2.5 = 47.5.

Since we are looking for a whole number of guests waiting for a bicycle, we round the result to the nearest whole number. Therefore, the average number of guests waiting for a bicycle is 48.