In: Physics
2. Due to recent global economic trends, Brazilian currency has lost value compared to the US dollar. This devaluation caused an increase in the price of products in Brazil. The following table summarizes results from a consumer survey that asked about the number of products being purchased and whether the brands purchased had changed (a trend towards purchasing less expensive brands was expected)
Number of Products Purchased |
||||
Brands purchased |
Fewer |
Same |
More |
Total |
Changed to less expensive |
262 |
82 |
8 |
352 |
Did not change |
10 |
14 |
24 |
48 |
Total |
272 |
96 |
32 |
400 |
What is the probability that a consumer selected at random:
a. purchased fewer products than before?
b. purchased fewer products and changed brands?
c. purchased fewer products or did not change brands?
d. Constance Aguero changed the brands she purchased. What is the probability that she purchased fewer number of products?
e. Robert Nanaim is purchasing fewer products. What is the probability that he has changed brands?
f. Are the events Brands purchased and Number of products purchased independent events? Show the test.