Type I & Type II Errors Any hypothesis test will only provide evidence about whether a parameter has changed or not. A conclusion can not claim with certainty whether to accept or reject the nu...
Language of Hypothesis Testing What is a hypothesis test? A hypothesis test uses a sample of data in an experiment to test a statement made about the value of a population parameter A hypothesis te...
Normal Approximation of Poisson When can I use a normal distribution to approximate a Poisson distribution? The greater the value of λ in a Poisson distribution, the more symmetrical the distributi...
Choosing Distributions When should I use a Poisson distribution? A random variable that follows a Poisson distribution is a discrete random variable A Poisson distribution is used when the random v...
Continuous Uniform Distribution What is meant by the continuous uniform distribution? This is a special case of a probability density function for a continuous random variable The normal distributi...
E(X) & Var(X) (Continuous) What are E(X) and Var(X)? E(X)is the expected value, or mean, of a random variable X E(X) is the same as the population mean so can also be denoted by µ Var (X) is th...
Calculating Probabilities using PDF What is a probability density function (p.d.f.)? For a continuous random variable , it is often possible to model probabilities using a function This function is...
aX+b How are the mean and variance of X related to the mean and variance of aX + b? If a and b are constants then the following results are true E(aX + b) = aE(X) + b Var(aX + b) = a² Var(X) Note t...
Properties of Poisson Distribution What is a Poisson distribution? A Poisson distribution is a discrete probability distribution What are the important properties of a Poisson distribution? The mea...
