Use the following information for questions:
A student is randomly selected from a large college campus. Define the eventsH = {the student has blond hair} and E = {the student has blue eyes}.
-The events H and E are
A) disjoint but not independent.
B) independent but not disjoint.
C) disjoint and independent.
D) neither disjoint nor independent.

Question

Use the following information for questions:
 A student is randomly selected from a large college campus. Define the eventsH = {the student has blond hair} and E = {the student has blue eyes}.
-The events H and E are
A) disjoint but not independent.
B) independent but not disjoint.
C) disjoint and independent.
D) neither disjoint nor independent.

Quizplus · Accepted Answer

Disjoint events cannot occur at the same time, whereas independent events have no influence on the likelihood of each other occurring. Since a student can have both blond hair and blue eyes, H and E are not disjoint. Additionally, having blond hair could influence the likelihood of having blue eyes due to genetic correlations, suggesting they are not independent.

Use the Following Information for Questions