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...
說到數學類國際學術活動，相信不少人首先想到的一定是AMC，可其實你知道嗎，除了眾所周知的美國數學學術活動，澳洲也有一項AMC數學學術活動！ 澳洲AMC數學學術活動 澳洲AMC，即澳大利亞數學學術活動（Australian ...
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...
