Sta1010 assignment 2 2023 - Study guides, Study notes & Summaries

STA1010 Statistical Methods for Science ASSIGNMENT 2 Question 1 a) Since x is a random variable (the number of alpha particles that hit a detector over a week) and t = no. of weeks, indicating it is modelling the number of events in a time period – it is, therefore, a Poisson distribution. Hence, the assumption made is that X ~ Poisson, x̄= 3 P(X=x) = e-3 * 3x / x!, x = 0,1, 2, 3… b) The mean of X is = E(X) = 3 The variance of X is = Var(X) = 3 The standard deviation of X ...

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