From the Household Expenditure Statistics: Year Ended 30 June 2016 (Statistics New Zealand, ), the average weekly household expenditure in New Zealand was $1,300. Assuming that weekly household expenditure is approximately normal with a standard deviation of $350:

a. Find the probability that a household's weekly expenditure is i. less than $500 ii. more than $1,750

b. What proportion of household expenditures are between $1,250 and $1,500?

c. 99% of households have weekly expenditures of less than which amount?

d. 95% of households have weekly expenditures of more than which amount?

Would really appreciate if the solution is shown. Thank you.