nly b) With the restart of gastronomy, a waiter remembers the time before the pandemic, when he received a considerable amount of tips every month in addition to his salary. But it was far from being the case with every bill that a tip was given. In his experience, this only happened in about 60% of the bills that a tip was given at all. a) What is the probability that under the above assumptions of 20 invoices -Exactly with 10 invoices -if there are more than 18 invoices -with fewer than or equal to 18 invoices a tip is given. Assume that the guests tip stochastically indepe
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Question 1
please answer only b)
With the restart of gastronomy, a waiter remembers the time before the pandemic, when he received a considerable amount of tips every month in addition to his salary. But it was far from being the case with every bill that a tip was given. In his experience, this only happened in about 60% of the bills that a tip was given at all.
a) What is the probability that under the above assumptions of 20 invoices -Exactly with 10 invoices
-if there are more than 18 invoices
-with fewer than or equal to 18 invoices a tip is given.
Assume that the guests tip stochastically independently of one another. And when solving this subtask, please include the distribution you are using and its parameters!
b) On a usual evening, this waiter cashed in around 200 tables in the beer garden, with an average of 2 euros in tip from the tipsters.
- What additional earnings per evening can the waiter expect if the conditions are the same as before the pandemic, ie with 200 bills per evening, a tip of 60% and an average tip of 2 euros?
- What is the probability that the number of tip givers is a maximum of 100 and thus the tip earned per evening a maximum of 200 euros?
- What tip amount will be exceeded with a probability of 95% per evening?
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