Distributions

Concepts

• Bernoulli distribution 10 exercisesA Bernoulli variable X only takes the values 1 (success) and 0 (failure); its only parameter p is the probability P of success.
• Binomial distribution 10 exercisesA binomial variable X counts the successes k in n independent Bernoulli trials with the same success probability p; P(X=k) is the…
• Poisson distribution 10 exercisesA Poisson variable X counts independent events, at a constant average rate, in a fixed interval; its parameter λ is the mean numb…
• Uniform distribution 10 exercisesA continuous uniform variable takes values in an interval with the same density at every point, so intervals of equal length have…
• Exponential distribution 10 exercisesAn exponential variable measures the waiting time until the first event of a memoryless process that occurs at a constant rate λ;…
• Normal distribution 10 exercisesA normal variable is a continuous variable with density f shaped like a symmetric bell, determined by its mean μ and its standard…