1. As a result of the Covid crisis, a large number of households faced destitution – lacking sufficientincome even to support basic necessities. Incidence of destitution can be represented by a Poissondistribution. The value of lambda (λ) is 0.5 destitute households in 100, that is 0.5% incidence.a) What is the mean and standard deviation of number of households (out of 100) in destitution?b) Define the formula for the Poisson Distribution.c) What is the probability of exactly 2 destitute households in a sample of 100 households?d) What is the probability 3 or less destitute households (out of 100)?e) Display a Table and a Graph containing exact probabilities of the Poisson distribution for up to5 destitute households.
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