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...
Confidence Interval for μ What is a confidence interval? It is impossible to find the exact value of a population parameter when taking a sample The best we can do is find an interval for which the...
Sample Mean Distribution What is the distribution of the sample means? For any given population it can often be difficult or impractical to find the true value of the population mean, µ The populat...
Unbiased Estimates What is an unbiased estimator of a population parameter? An estimator is a statistic that is used to estimate a population parameter When a sample is used with the estimator, the...
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Sampling Techniques What is a population, a sample and the difference between them? The population refers to the whole set of things which you are interested in e.g. if a vet wanted to know how lon...
Normal Approximation of Binomial When can I use a normal distribution to approximate a binomial distribution? Why do we use approximations? If there are a large number of values for a binomial dist...
Modelling with Distributions When should I use a binomial distribution? A random variable that follows a binomial distribution is a discrete random variable A binomial distribution is used when the...
Normal Distribution - Calculations Calculating Normal Probabilities How do I find probabilities using a normal distribution? It is likely that your calculator has a function that can find normal pr...
