In the Household Expenditure Statistics: Year Ended 30 June 2016 (Statistics New Zealand, , licensed by Statistics New Zealand for re-use under the Creative Commons Attribution 3.0 New Zealand licence), 64% of the New Zealand households reported that their income was enough or more than enough to meet their everyday needs. However, of the 20% of households with an annual income of less than $35,700, 48% reported that their income was enough or more than enough for their everyday needs, while of the 20% of households with an annual income of at least $136,600, 87% reported that their income was enough or more than enough to meet their everyday needs. 

a. What proportion of households reporting that their income is not enough for their everyday needs have an annual income of at least $136,600? 

b. What proportion of households who report their income is enough for their everyday needs have incomes of less than $35,700? 

c. What is the probability that a household has an annual income of less than $35,700 and reports that this is enough for their everyday needs? 

d. What proportion of households with an annual income of at least $35,700 report that their income is enough? 

e. What proportion of households with an annual income of less than $136,600 report that their income is not enough? 

f. What is the probability that a household has an annual income of at least $136,600 and reports that this is not enough for their everyday needs?

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