Question

A survey is conducted to determine whether industry type is independent of geographic location. The result of the survey is tabulated for the following fast growing industries (Food and Services) and their respective locations, New South Wales (NSW) and Victoria (VIC).

	Geographic Locations
Industry type	NSW	VIC	Total
Food	15	28	43
Services	25	32	57
Total	40	60	100

One industry is selected at random. Answer the following questions using the values in the above table.

a) Find the probability that an industry selected at random is located in NSW.

b)Find the probability that an industry selected at random is not a Food type.

c)Find the probability that an industry selected at random is Service type or is located in NSW.

d)Given that a randomly selected industry is a food type, find the probability that it is located in VIC.

Answer 1