The owner of the cafeteria at the university would like to investigate the method of payment of the students. From past experience, he knows that30%

30% of the students pay with a credit card. The owner decides to investigate the method of payment for a random sample of= 10students.

a. Given the fact that the first two students paid with a credit card, give the probability that the third student will also pay with a credit card.

b. Consider the experimental outcome

(,,,,,,,,,)

where each trial of this experiment has only two possible outcomes with

• = student paid with a credit card and
• = student did not pay with a credit card.

Answer the following:

• Calculate the probability that this experimental outcome will occur =

Use this experimental outcome to calculate:

• an estimate for p =
• the sampling error, (p-p) =

c. Calculate the probability that6 or 7 students will pay with a credit card =

d. The chef at the cafeteria compiled a menu with:

• 4 starters
• 11 main courses
• 5 desserts

Assume that a student will order one starter, one main course and one dessert. Every composition of the three dishes may be regarded as a so-called "meal". Calculate the total number of different "meals" that may be ordered from the menu.