Question

In a village of 320 adults, each of them does at least farming or trading. 5/8 of them do farming and 75% of these who do farming are involved in trading. a. Find the number of people who are involved in: i. Farming ii. Trading. b. How many of the people are involved in exactly two activities?

c. Find the number of people who do only one activity.
d. What percentage of the people are traders only?
e. What is the probability of selecting an adult from the village at random who is a farmer but not a trader?

Answer 1

please see answers below

Explanation:

i) 5/8 X 320 = 200 people

ii) 0.75 X 200 = 150 (people in farming but also trade). only trade = 320 - 200 = 120.

number of people in trade = 150 + 120 = 270.

b) 0.75 X 5/8 = 3/4 X 5/8 = 15/32 = 150 people (both farm and trade).

c) only farming = 0.25 X 5/8 = 1/4 X 5/8 = 5/32 = 50.

only trade = 320 - 50 (only farm) - 150 (both farm and trade) = 120.

so, only do one activity = 50 + 120 = 170.

d) traders only = 120/320 = 3/8 = 37.5%

e) P(farmer only) = 50/320 = 0.15625