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Continuous random variable, and Binomial and possoin distributions

Quiz by Alfred

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10 questions
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  • Q1
    Which statement is true about a continuous random variable?
    It only takes non-negative values greater than zero.
    It can only take integer values.
    It is characterized by a fixed number of trials.
    It can take an infinite number of possible values in a given range.
    30s
  • Q2
    Which distribution is typically used to model the number of successes in a fixed number of trials with the same probability of success?
    Normal distribution
    Poisson distribution
    Binomial distribution
    Uniform distribution
    30s
  • Q3
    What kind of distribution is used to model the number of events happening in a fixed interval of time or space?
    Binomial distribution
    Poisson distribution
    Normal distribution
    Exponential distribution
    30s
  • Q4
    Which distribution would you use to model the probability of a certain number of defects in a batch of products where the average number of defects per batch is known?
    Uniform distribution
    Poisson distribution
    Binomial distribution
    Continuous distribution
    30s
  • Q5
    If a random variable represents the amount of time someone spends waiting for a bus and can take any value within a specified range, what type of random variable is it?
    Poisson random variable
    Bernoulli random variable
    Continuous random variable
    Discrete random variable
    30s
  • Q6
    If you flip a fair coin 10 times, which distribution can be used to model the probability of getting a specific number of heads?
    Poisson distribution
    Exponential distribution
    Normal distribution
    Binomial distribution
    30s
  • Q7
    What is the main difference between a binomial distribution and a Poisson distribution?
    A binomial distribution can only take continuous values, whereas a Poisson distribution is always discrete.
    A binomial distribution requires events to happen continuously over time, while a Poisson does not.
    A binomial distribution always describes rare events, while a Poisson distribution is only for common events.
    A binomial distribution has a fixed number of trials, while a Poisson distribution counts events in a fixed interval with no upper limit on number.
    30s
  • Q8
    You are monitoring a call center, and you want to model the number of calls received in an hour. Which distribution should you use?
    Geometric distribution
    Binomial distribution
    Normal distribution
    Poisson distribution
    30s
  • Q9
    Which type of distribution would you use to model the probability of a student making a certain number of errors on a multiple-choice test where each question has only one correct answer?
    Uniform distribution
    Poisson distribution
    Exponential distribution
    Binomial distribution
    30s
  • Q10
    If a random variable describes the heights of students in a class, what type of random variable is it?
    Binomial random variable
    Continuous random variable
    Discrete random variable
    Poisson random variable
    30s

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