Quiz on Random Variables and Probability Distribution

What is a random variable?

• A fixed value in statistics

• A type of probability distribution

• A numerical description of outcomes of an experiment

• A method of sampling

Which of the following is an example of a discrete random variable?

• Temperature in a city

• Time taken to complete a task

• Height of students

• Number of heads when flipping a coin

What does the expected value of a random variable represent?

• The average outcome of a random variable

• The minimum value of the variable

• The maximum value of the variable

• The most frequently occurring value

In a binomial distribution, what does 'n' represent?

• The average outcome

• The number of successes

• The probability of success

• The number of trials

What is the variance of a random variable?

• The sum of all probabilities

• The total number of outcomes

• The expected value of the squared deviations from the mean

• The square of the mean

In a binomial distribution, what does 'p' represent?

• The number of failures

• The probability of success

• The number of trials

• The average outcome

Which of the following is an example of a continuous random variable?

• Number of students in a class

• Number of goals scored in a match

• Number of cars in a parking lot

• Time taken to run a marathon

What is the standard deviation of a random variable?

• The maximum deviation from the mean

• The sum of all probabilities

• The mean of the outcomes

• The square root of the variance

What is the probability of getting exactly two heads when flipping a fair coin three times?

• 0.25

• 0.5

• 0.375

• 0.125

Which of the following distributions is used to model the number of events in a fixed interval of time or space?

• Uniform distribution

• Poisson distribution

• Binomial distribution

• Normal distribution