Exercise

Rooftop Movies in Perth, is popular in the summertime - converting the rooftop of the Northbridge carpark into an open-air cinema, complete with bean bags.

Say, Rooftop Movies surveyed 300 of their customers and asked about the purchase of food and beverage from the Rooftop Movies' confectionary stand .

Food purchase

Beverage purchase

Popcorn

Other Food

No Food

Total

Water

35

45

45

125

Juice

10

5

10

25

Soft Drink

25

40

50

115

No Drink

5

0

30

35

Total

75

90

135

300

26

Exercise continued

#1

Answer the following questions about purchases

from Rooftop Movies' confectionary stand:

a)What is the probability a moviegoer purchased water?

b)What is the probability a moviegoer did not purchase water?

c)What is the probability a moviegoer purchased water and popcorn?

d)What is the probability a moviegoer purchased a soft drink or other food?

e)What is the probability a moviegoer purchased water, given that they already bought popcorn?

f)Are the events popcorn and the event juice mutually exclusive? Explain. g)Are the events water and the event popcorn independent? Explain.