A random variable is discrete if the value of the random variable depends upon the outcome of a chance experiment.
1.True
2.False
Q. 2If two events are mutually exclusive, those same events must be _____ because if event A occurs then event B _____ occur.
1.dependent; must
2.independent; can't
3.independent; must
4.dependent; can't
Q. 3A die is rolled. Define two events as follows:
A = the event that the number is even
B = the event that the number is less than 2
Are these events mutually exclusive? Are they independent?
1.They are both mutually exclusive and independent.
2.They are mutually exclusive but not independent.
3.They are neither mutually exclusive nor independent.
4.They are not mutually exclusive but they are independent.
Q. 4What is the probability of observing a head in a coin toss followed by a four on the roll of a die?
1.1/12 because the events are independent.
2.1/12 because the events are dependent.
3.1/6 because the events are independent.
4.1/6 because the events are dependent.
Q. 5Which of the following events are independent?
1.Rolling a pair of dice and obtaining a four on one and a three on the other
2.Picking an ace from a regular deck of cards after the first card is drawn without replacement
3.Coming to class and doing well on the exam
4.Winning the lottery and playing the lottery each week
Q. 6If A and B are mutually exclusive events and P(A) = 0.6 and P(B) = 0.3, what is P(A and B)?
1.0.9
2.0
3.0.3
4.0.18
Q. 7If A and B are mutually exclusive events and P(A) = 0.6 and P(B) = 0.3, what is P(A or B)?
1.0.9
2.0
3.0.3
4.0.18
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