Probability Distributions
Math ⇒ Statistics and Probability
Probability Distributions starts at 10 and continues till grade 12.
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See sample questions for grade 11
A die is rolled once. What is the probability distribution for the outcome?
Define a continuous probability distribution and give one example.
Describe the main difference between discrete and continuous probability distributions.
Explain the difference between a probability mass function (pmf) and a probability density function (pdf).
A die is rolled once. What is the probability distribution for the outcome?
A fair coin is tossed 4 times. What is the probability of getting exactly 3 heads?
A random variable X has a probability distribution with P(X=0)=0.3, P(X=1)=0.5, and P(X=2)=0.2. What is the variance of X?
A random variable X has the following probability distribution: P(X=1)=0.4, P(X=2)=0.4, P(X=3)=0.2. What is the probability that X is greater than 1?
A probability distribution must satisfy which of the following conditions?
(1) All probabilities are positive and sum to 1
(2) All probabilities are negative and sum to 1
(3) All probabilities are positive and sum to 0
(4) All probabilities are negative and sum to 0
Which of the following distributions is appropriate for modeling the number of successes in a fixed number of independent trials?
(1) Binomial
(2) Normal
(3) Exponential
(4) Uniform
Which of the following is a continuous probability distribution?
(1) Binomial
(2) Poisson
(3) Normal
(4) Geometric
Which of the following is a discrete probability distribution?
(1) Normal distribution
(2) Binomial distribution
(3) Uniform distribution (continuous)
(4) Exponential distribution
Fill in the blank: The expected value of a random variable is a measure of its _______ value.
Fill in the blank: The normal distribution is also known as the _______ curve.
Fill in the blank: The Poisson distribution is used to model the number of _______ in a fixed interval of time or space.
Fill in the blank: The probability density function (pdf) is used for _______ random variables.
True or False: In a binomial distribution, the probability of success must remain constant for each trial.
True or False: The area under the curve of a probability density function (pdf) over its entire range is always 1.
True or False: The mean of a probability distribution is also called its expected value.
True or False: The probability that a continuous random variable takes any exact value is zero.
