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 12
A continuous random variable X is uniformly distributed between 0 and 2. What is the probability that X is less than 1?
A fair coin is tossed 4 times. What is the probability of getting exactly 2 heads?
A random variable X has a probability mass function given by P(X=0)=0.4, P(X=1)=0.4, P(X=2)=0.2. What is the variance of X?
A random variable X has a uniform distribution on the interval [a, b]. What is the mean of X?
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 expected value of X?
Describe the difference between a probability mass function (pmf) and a probability density function (pdf).
If a random variable X follows a binomial distribution with n = 10 and p = 0.3, what is the mean of X?
If a random variable X has a normal distribution with mean 50 and standard deviation 5, what is the z-score for X = 60?
If the probability of success in a Bernoulli trial is 0.7, what is the probability of failure?
What is the expected value of a fair six-sided die roll?
