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

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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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