Which of the following events are disjoint?
a. choose a student at random from a statistics class. event a is that the student is a junior. event b is that the student is a senior.
b. choose a student at random from a statistics class. event a is that the student is a psychology major. event b is that the student is a statistics major.
c. choose a student at random from a statistics class. event a is that the student is at least 5'8" tall. event b is that the student weighs at least 160 pounds.

Step-by-step explanation:

We have to find out which two events are disjoint.

Two events are disjoint if both cannot happen simultaneously or Probability of both occurring is strictly 0.

a) Choose a student at random from a statistics class. Event A is that the student is a junior. Event B is that the student is a senior.

These are disjoint because a student cannot be a senior and junior both.

b) Choose a student at random from a statistics class. Event A is that the student is a psychology major. Event B is that the student is a statistics major.

Disjoint because same student cannot have psychology as well as statistics as major

c. Choose a student at random from a statistics class. Event A is that the student is at least 5'8" tall. Event B is that the student weighs at least 160 pounds.

These cannot be disjoint because there are chances for some students to be taller than 5 feet 8 inches and also having weight more than 160 lbs.

answer: 414,377,008

step-by-step explanation:

just multiply it