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 10
A bag contains 3 red balls and 2 blue balls. If one ball is drawn at random, what is the probability that it is blue?
A random variable X can take values 1, 2, 3 with probabilities 0.2, 0.5, and 0.3 respectively. What is the expected value of X?
A random variable X has possible values 0, 1, 2 with probabilities 0.3, 0.4, and 0.3. What is the probability that X is at least 1?
A random variable X has the following probability distribution: P(X=1)=0.2, P(X=2)=0.5, P(X=3)=0.3. What is the probability that X is not equal to 2?
A random variable X has the following probability distribution: P(X=1)=0.4, P(X=2)=0.6. What is the probability that X is greater than 1?
A random variable X has values 1, 2, 3 with probabilities 0.2, 0.5, and 0.3. What is the variance of X?
If a die is rolled once, what is the probability of getting a number greater than 4?
If a fair coin is tossed twice, what is the probability of getting at least one head?
A probability distribution is called uniform if: (1) All outcomes have different probabilities (2) All outcomes have the same probability (3) Only one outcome is possible (4) Probabilities are negative
A probability distribution must satisfy which of the following conditions? (1) All probabilities are positive (2) The sum of all probabilities is 1 (3) Each probability is less than 1 (4) All of the above
Which of the following is a characteristic of a normal distribution? (1) It is skewed to the right (2) It is bell-shaped and symmetric (3) It has two peaks (4) It is only defined for positive values
Which of the following is a continuous probability distribution? (1) Poisson distribution (2) Binomial distribution (3) Normal distribution (4) Geometric distribution
Fill in the blank: In a binomial distribution, each trial is ______ of the others.
Fill in the blank: The mean of a binomial distribution with parameters n and p is ______.
Fill in the blank: The standard deviation of a probability distribution is the square root of the ______.
Fill in the blank: The sum of the probabilities of all possible outcomes in a probability distribution is ______.
True or False: In a probability distribution, the probability of the empty set is always 0.
True or False: The area under the curve of a probability density function (PDF) for a continuous random variable is always 1.
True or False: The mean of a probability distribution is also called its expected value.
True or False: The normal distribution is symmetric about its mean.
