1. The table shows the performance of a selection of 100 stocksafter one year. (Take S to be the set of all stocksrepresented in the table. If a stock stayed within 20% of itsoriginal value, it is classified as \"unchanged\".)
| Companies | Total |
|---|
Pharmaceutical
P | Electronic
E | Internet
I |
|---|
Increased
V | 10 | 3 | 6 | 19 |
|---|
Unchanged
N | 9 | 12 | 12 | 33 |
|---|
Decreased
D | 10 | 3 | 7 | 20 |
|---|
| Total | 29 | 18 | 25 | 72 |
|---|
Use symbols to describe the event that an Internet stock did notincrease.
How many elements are in the event?
2. The table shows the performance of a selection of 107 stocksafter one year. (Take S to be the set of all stocksrepresented in the table. If a stock stayed within 20% of itsoriginal value, it is classified as \"unchanged\".)
| Companies | Total |
|---|
Pharmaceutical
P | Electronic
E | Internet
I |
|---|
Increased
V | 11 | 3 | 18 | 32 |
|---|
Unchanged
N | 32 | 0 | 11 | 43 |
|---|
Decreased
D | 11 | 3 | 18 | 32 |
|---|
| Total | 54 | 6 | 47 | 107 |
|---|
Compute n(P ∪N')._____
What does this number represent?
a. n(P ∪ N') is the number of stocksthat were either not pharmaceutical stocks, or were not unchangedafter a year (or both).
b.n(P ∪ N') is the number of stocksthat were either pharmaceutical stocks, or were unchanged after ayear (or both).   Â
c.n(P ∪ N') is the number of stocksthat were pharmaceutical stocks and were not unchanged after ayear.
d.n(P ∪ N') is the number of stocksthat were either pharmaceutical stocks, or were not unchanged aftera year (or both).
e. n(P ∪ N') is the number of stocksthat were not pharmaceutical stocks and were unchanged after ayear.
3. Suppose two dice (one red, one green) are rolled. Considerthe following events. A: the red die shows 3; B:the numbers add to 4; C: at least one of the numbers is 1;and D: the numbers do not add to 9. Express the givenevent in symbols. HINT [See Example 5.]
Either the numbers add to 4, or they add to 9, or at least oneof them is 1.
How many elements does it contain?
4. Suppose two dice (one red, one green) are rolled. Considerthe following events. A: the red die shows 6; B:the numbers add to 9; C: at least one of the numbers is 6;and D: the numbers do not add to 12. Express the givenevent in symbols. HINT [See Example 5.]
The red die shows 6 and the numbers add to 9.
How many elements does it contain?
