QuestionA biologist has butterfly specimens of colors G, R, Y and ages 1-6 months. Place dots on a Venn diagram for events (yellow) and (older than 2 months).
Studdy Solution
STEP 1
Assumptions1. The butterflies are of various colors green (abbreviated G), red (abbreviated R), or yellow (abbreviated Y).
. Each specimen is labeled with one the numbers and the number represents how many months old it is.
3. The biologist selects a specimen at random.
4. Let be the event of selecting a yellow specimen.
5. Let be the event of selecting a specimen that is older than months old.
6. The task is to place the dots on the Venn diagram to represent the correct event, , ; or AND .
STEP 2
First, let's define the events and in terms of the colors and ages of the butterflies.
Event : Selecting a yellow butterfly. This means any butterfly that is yellow, regardless of its age, belongs to event .
Event : Selecting a butterfly that is older than2 months. This means any butterfly that is,4,5, or6 months old, regardless of its color, belongs to event .
STEP 3
Now, let's place the dots on the Venn diagram to represent event .Any dot that represents a yellow butterfly should be placed inside the circle representing event . The age of these butterflies does not matter, as long as they are yellow.
STEP 4
Next, let's place the dots on the Venn diagram to represent event .Any dot that represents a butterfly older than2 months should be placed inside the circle representing event . The color of these butterflies does not matter, as long as they are older than2 months.
STEP 5
Finally, let's place the dots on the Venn diagram to represent the intersection of events and , denoted as AND .
Any dot that represents a yellow butterfly that is also older than2 months should be placed in the overlapping area of the circles representing events and .
STEP 6
Note that some dots may not be used if they do not satisfy the conditions of either event , event , or both. These dots represent butterflies that are not yellow or are2 months old or younger.
Was this helpful?