Probability Statistics MCQs

Probability Statistics MCQs

Answer these 40+ Probability Statistics MCQs and see how sharp is your knowledge of Probability Statistics.
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1: _____ states that when two outcomes for a given event are mutually exclusive, the probability that any one of these outcomes occurs is equal to the sum of their individual probabilities.

A.   Additive Law

B.   Bayes’s Law

C.   Multiplicative Law

D.   None of these

2: A mathematical formula that relates the conditional and marginal (unconditional) probabilities of two conditional outcomes that occur at random is known as_____

A.   Additive Law

B.   Bayes’s Law

C.   Multiplicative Law

D.   None of these

3: Binomial Distribution is the distribution of probabilities for each outcome of a_____variable.

A.   Bivariate Random

B.   Univariate Random

C.   Multivariate Random

D.   None of these

4: Binomial Probability Distribution is the distribution of probabilities for each outcome of a_____variable.

A.   Bivariate Random

B.   Univariate Random

C.   Multivariate Random

D.   None of these

5: Bivariate Random Variable is any random variable with only _____ possible outcomes.

A.   One

B.   Two

C.   Three

D.   Four

6: Bivariate Random Variable is any random variable with only _____ possible outcomes.

A.   One

B.   Two

C.   Three

D.   Four

7: Complementary Outcomes is a probability relationship where the sum of the probabilities for two outcomes is equal to_____

A.   0.1

B.   1

C.   10

D.   100

8: A probability relationship where the probability of one outcome is dependent on the occurrence of the other outcomes is known as_____

A.   Conditional Outcome

B.   Dependent Outcome

C.   Conditional Outcome

D.   Both a and b

9: A probability relationship where the probability of one outcome is dependent on the occurrence of the other outcomes is known as_____

A.   Conditional Outcome

B.   Dependent Outcome

C.   Conditional Outcome

D.   Both a and b

10: Dichotomous Variable is also known as_____

A.   Bivariate Variable

B.   Dependent Variable

C.   Multivariate Variable

D.   Both a and b

11: Expected Value is the expected outcome of a random variable that is the sum of the products for each random outcome _____ by the probability of its occurrence.

A.   Summed

B.   Divided

C.   Multiplied

D.   Squared

12: Fixed event is any event in which the outcome observed is always the same.

A.   True

B.   False

13: A probability relationship where the probability of one outcome does not affect the probability of the second outcome is known as_____

A.   Conditional Outcome

B.   Dependent Outcome

C.   Conditional Outcome

D.   Independent Outcome

14: Mathematical Expectation is the expected outcome of a random variable that is the sum of the products for each random outcome _____ by the probability of its occurrence.

A.   Summed

B.   Divided

C.   Multiplied

D.   Squared

15: Multiplicative Law states that when two outcomes for a given event are independent, the probability that both outcomes occur is equal to the _____ of their individual probabilities.

A.   Sum

B.   Product

C.   Sum of product

D.   Difference of product

16: Multiplicative Rule states that when two outcomes for a given event are independent, the probability that both outcomes occur is equal to the _____ of their individual probabilities.

A.   Sum

B.   Product

C.   Sum of product

D.   Difference of product

17: Multiplicative Rule states that when two outcomes for a given event are independent, the probability that both outcomes occur is equal to the _____ of their individual probabilities.

A.   Sum

B.   Product

C.   Sum of product

D.   Difference of product

18: The probability of two mutually exclusive outcomes occurring together is _____

A.   0

B.   1

C.   10

D.   100

19: Outcome Space is the total number of possible outcomes that can occur in a given random event.

A.   True

B.   False

20: Probability is the frequency of times an outcome occurs divided by the_____

A.   Total number of possible outcomes

B.   Product of possible outcomes

C.   Square root of possible outcomes

D.   None of these

21: The sum of probabilities in a probability distribution is equal to_____

A.   0.01

B.   0.10

C.   1.00

D.   10.0

22: Random Event is any event in which the outcomes observed are fixed.

A.   True

B.   False

23: The total number of possible outcomes that can occur in a given random event is known as_____

A.   Sample Space

B.   Outcome Space

C.   Random Space

D.   Both a and b

24: Standard Deviation of a Probability Distribution is calculated by taking the_____ of the variance of a probability distribution.

A.   Sum

B.   Square

C.   Square root

D.   All of these

25: Standard Deviation of a Probability Distribution is calculated by taking the_____ of the variance of a probability distribution.

A.   Sum

B.   Square

C.   Square root

D.   All of these

26: A measure of variability for the average squared distance that outcomes for a given random variable deviate from the expected value or mean of a probability distribution is known as_____

A.   Variance of a Probability Distribution

B.   Standard Deviation of a Probability Distribution

C.   Mean of a Probability Distribution

D.   None of these

27: The probability of an outcome or event is:

A.   The proportion of times an outcome is not likely to occur.

B.   The fraction of times an outcome is likely to occur.

C.   Can be estimated only for past events.

D.   All of these.

28: A poll showed that students had no preference among four times during which a class was offere In this case, the probability of any specific time would be:

A.   1/4.

B.   1/3.

C.   0.5.

D.   1.4.

29: Which of the following is a characteristic of probability?

A.   Probability is most useful for describing fixed events.

B.   Probability can be negative.

C.   Probability cannot be stated as a fraction or decimal.

D.   Probability varies between 0 and 1.

30: If there are four Aces in a deck of 52 cards, then what is the probability of selecting one Ace on a single draw from the deck of cards?

A.   13/52

B.   1/52

C.   4/52

D.   1/13

31: The following are six random outcomes for a sample space: −.25, −.5, −.5, −.5, −.5, and −.6. What is the probability of selecting a −.5 in this example?

A.   1/6

B.   4/6

C.   −2/6

D.   −3/6

32: A researcher determines that the probability of winning of a new outcome in his experiment is p = .45. Assuming that a new and old outcome are mutually exclusive events, the probability of an old or new outcome would be:

A.   .22.

B.   .68.

C.   1.00.

D.   This is not possible.

33: A bag has 10 blue chips, 10 red chips, 10 green chips, and 10 white chips. The probability of blindly picking a red and green chip in one try will be:

A.   .9.

B.   .5.

C.   .25.

D.   .06.

34: The probability of Sam studying for an exam is p = .35. The probability of Sam studying for the exam and earning an A on the exam is p = .20. Hence, the probability of Sam earning an A on the exam, given that he has studied is:

A.   P = .07.

B.   P = .57.

C.   P = .55.

D.   There is not enough information to answer this question.

35: A researcher records the number of interviews a person has to attend before landing a successful jo She finds that the probability of landing a job after one interview is p = .14; two interviews is p = .36; three interviews is p = .32; and four interviews is p = .10. What is the probability that a person lands a job after at least two interviews?

A.   .08

B.   .25

C.   .50

D.   .67

36: The additive rule is used to define mutually exclusive outcomes.

A.   True

B.   False

37: The multiplicative rule is used for conditional outcomes.

A.   True

B.   False

38: The expected outcome is the sum of the products for each random outcome multiplied by the probability of its occurrence.

A.   True

B.   False

39: A binomial probability distribution is constructed for fixed variables that have at least two possible outcomes.

A.   True

B.   False

40: The SD of a binomial distribution is the square root of the variance.

A.   True

B.   False

41: A research ____ is a general approach that is intended to address a specific question.

A.   Extraneous

B.   Strategy

C.   External

D.   Valid

42: If a firewall receives a suspicious packet, the firewall will ________.

A.   All of the above

B.   None of the above

C.   Drop the packet

D.   Log the packet

43: A management information system (mis) provides managers with ________ data.

A.   Stressing to the management information systems department the urgency in completing the global information system

B.   Understanding that a global information system evolves over time and requires continual maintenance and refinement

C.   Completing a system that meets all information needs when the system is launched

D.   Provides information, typically in reports, that supports effective decision making and provides feedback on daily operations