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28 October, 04:19

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.

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  1. 28 October, 04:46
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    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.
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