Probability Distributions

Math ⇒ Statistics and Probability

Probability Distributions starts at 10 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Probability Distributions. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

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?

If a fair die is rolled, what is the probability of getting an even number?

If a random variable X has a probability distribution where P(X=1)=0.4, P(X=2)=0.4, P(X=3)=0.2, what is the probability that X is less than 3?

If a random variable X has a uniform distribution over the values 1, 2, 3, 4, what is the probability that X = 3?

If a random variable X has the following probability distribution: P(X=0)=0.5, P(X=1)=0.3, P(X=2)=0.2, what is the probability that X is less than 2?

What is the probability of drawing a red card from a standard deck of 52 cards?

What is the probability of getting exactly 2 heads in 3 tosses of a fair coin?

A continuous random variable Y has a uniform distribution over the interval [0, 5]. What is the probability that Y is between 2 and 4?

A random variable X can take the values 2, 4, and 6 with probabilities 0.3, 0.5, and 0.2 respectively. Calculate the standard deviation of X.

A random variable X has the following probability distribution: P(X=1)=0.25, P(X=2)=0.5, P(X=3)=0.25. What is the probability that X is not equal to 2?

A random variable Z has the following probability distribution: P(Z=0)=0.1, P(Z=1)=0.2, P(Z=2)=0.3, P(Z=3)=0.4. What is the expected value (mean) of Z?

Suppose a random variable W represents the number of defective bulbs in a box of 4, where each bulb has a 0.1 probability of being defective, independently. What is the probability that exactly 1 bulb is defective?