Imagine you are managing a large restaurant that receives around 60 clients per hour. Out of them, 30 order meat, 18 order fish and 12 order pasta. Of the clients who order meat, 60% of them also order dessert at the end of the meal. For those who order fish the percentage is 40% and for those who order pasta 80%. The price per person on average is uniformly distributed between $15 and $85. The average tip to the waiter is a variable normally distributed, with an average equal to $5 and standard deviation equal to $2. Calculate:

a) The probability that out of 10 clients, 2 order fish;; b) The probability that in 10 minutes, no more than 2 clients order pasta;; c) Assuming a client orders dessert, what is the probability that they also ordered fish? d) The probability that 2 consecutive clients who enter the restaurant between 1.5 and 2.5 minutes apart both order meat. e) Is "ordering meat", "ordering fish" and "ordering dessert" collectively exhaustive? Explain why or why not. f) The probability that a customer spent in total between $20 and $60? g) The probability that a customer tipped the waiter at least $4.