1. As a result of the Covid crisis, a large number of households faced destitution – lacking sufficient income even to support basic necessities. Incidence of destitution can be represented by a Poisson distribution. 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 to 5 destitute households.
1. As a result of the Covid crisis, a large number of households faced destitution – lacking sufficient
income even to support basic necessities. Incidence of destitution can be represented by a Poisson
distribution. 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
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 to
5 destitute households.
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