Question

Data collected by the owners of the "Coffee" cafe found that 50% drink coffee but do...

Data collected by the owners of the "Coffee" cafe found that 50% drink coffee but do not eat cake,
5% eat cake but do not drink coffee and 25% eat cake and drink coffee.
A cup of coffee costs 10 NIS and a slice of cake costs 15 NIS
Assume that each customer drinks at most one cup of coffee and eats at most one slice of cake.
Will be X - the cafe's revenue from one customer.

A. Find the probability function of X its span and variance

B. The number of customers entering the cafe per hour is evenly distributed with a span of 40
Clients on an 8-hour work shift.
What is the probability that exactly 8 customers will enter at a given time?

The time of arrival of an employee at the cafe is uniformly distributed between 15 minutes and an hour.

C. What is the probability that an employee who went to work half an hour before it started will arrive on time if known
That it took him at least 20 minutes to arrive?

D. 5 employees who went to work half an hour before it started independently of each other.
What is the probability that at least one will arrive on time?

Math   Statistics-And-Probability   
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