INTRODUCTION TO PROBABILITY AND
STATISTICS UPDATED ACTUAL QUESTIONS
AND CORRECT ANSWERS COMPLETE
STUDY GUIDE FULL SOLUTION
●● Random event
Answer: An event whose outcome cannot be predicted with certainty.
●● Probability
Answer: A number between 0 and 1, assigned to a possible outcome of a
random circumstance, measuring our uncertainty of the outcome.
●● Sample space (S)
Answer: The collection of all possible outcomes to a random process.
●● Event (A,B)
Answer: A collection of some possible outcomes.
●● Simple event
Answer: An event that consists of one outcome.
●● Compound event
,Answer: An event that consists of more than one outcome.
●● Notation P(A)
Answer: The probability of event A.
●● Equally likely outcomes
Answer: Assumes that all outcomes are equally likely and that
probability is proportional to the number of outcomes.
●● Frequency interpretation
Answer: The interpretation of probability based on the frequency of
outcomes occurring in a very large number of trials.
●● Bayesian interpretation
Answer: An interpretation of probability that incorporates prior
knowledge or beliefs.
●● Numerical Discrete
Answer: A type of variable that can take on a countable number of
values.
●● Sample space for exercise days
Answer: {0,1,2,3,4,5,6,7}
, ●● Event example for exercise
Answer: Exercised at least 3 days A={3,4,5,6,7}.
●● Probability of rolling a 3
Answer: 1/6, because one side is a '3' and there are 6 total sides.
●● Probability of getting a red marble
Answer: The probability of getting a red marble from a bag containing 8
red and 4 white marbles.
●● Probability of getting a white marble
Answer: The probability of getting a white marble from a bag containing
8 red and 4 white marbles.
●● Probability of getting a black marble
Answer: The probability of getting a black marble from a bag containing
8 red and 4 white marbles.
●● Random behavior
Answer: Unpredictable in the short run but has a regular and predictable
pattern in the long run.
STATISTICS UPDATED ACTUAL QUESTIONS
AND CORRECT ANSWERS COMPLETE
STUDY GUIDE FULL SOLUTION
●● Random event
Answer: An event whose outcome cannot be predicted with certainty.
●● Probability
Answer: A number between 0 and 1, assigned to a possible outcome of a
random circumstance, measuring our uncertainty of the outcome.
●● Sample space (S)
Answer: The collection of all possible outcomes to a random process.
●● Event (A,B)
Answer: A collection of some possible outcomes.
●● Simple event
Answer: An event that consists of one outcome.
●● Compound event
,Answer: An event that consists of more than one outcome.
●● Notation P(A)
Answer: The probability of event A.
●● Equally likely outcomes
Answer: Assumes that all outcomes are equally likely and that
probability is proportional to the number of outcomes.
●● Frequency interpretation
Answer: The interpretation of probability based on the frequency of
outcomes occurring in a very large number of trials.
●● Bayesian interpretation
Answer: An interpretation of probability that incorporates prior
knowledge or beliefs.
●● Numerical Discrete
Answer: A type of variable that can take on a countable number of
values.
●● Sample space for exercise days
Answer: {0,1,2,3,4,5,6,7}
, ●● Event example for exercise
Answer: Exercised at least 3 days A={3,4,5,6,7}.
●● Probability of rolling a 3
Answer: 1/6, because one side is a '3' and there are 6 total sides.
●● Probability of getting a red marble
Answer: The probability of getting a red marble from a bag containing 8
red and 4 white marbles.
●● Probability of getting a white marble
Answer: The probability of getting a white marble from a bag containing
8 red and 4 white marbles.
●● Probability of getting a black marble
Answer: The probability of getting a black marble from a bag containing
8 red and 4 white marbles.
●● Random behavior
Answer: Unpredictable in the short run but has a regular and predictable
pattern in the long run.
