Quantitative MethodsAssignment - 3[Pick the date]Student Id and name
Question 1(a)Based on the case scenario, it can be said that the number of weed seeds found in one kgof sample represent Poisson distribution. The main reasons behind this decision are asshown below:It is apparent that number of weeds shows discrete distribution and in Poisson distribution theprobability distribution is also discrete. It has been clearly stated in the case that the amount of sample is 1 kg and in Poissondistribution the mean i.e. the “average incidence of successes in a defined region has beentaken into consideration.” Therefore, the distribution of number of weed seeds is showingPoisson distribution. (b)Mean = 1; Let x is the number of weed seeds found in a kg of sample. 1
(c)Probability (observing 4 or more seeds in shipment) =?{x=4∨λ=1}P(4∨morex)=1−¿P(4∨morex)=1−¿(d) When the different rates of inclusion of 1, 2 or 4 seeds per kg (e)Probability (inclusion rate 4 seeds per kg) =? P=(0.01530.0190)=0.8072
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