Poisson Hypothesis Testing How is a hypothesis test carried out for the mean of a Poisson distribution? The?population parameter?being tested will be the?mean, λ ,?in a?Poisson distribution As it i...
Binomial Hypothesis Testing How is a hypothesis test carried out with the binomial distribution? The?population parameter?being tested will be the?probability,?p??in a?binomial distribution?B(n , p...
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...
