Question: Property sale prices in three towns A, B and C are normally distributed with means £65,000, £45,000 and £35,000 respectively and with standard deviations £10,000, £8,000 and £6,000 respectively. For the next sale in each of these towns find the probability that: (1 marks)

a) the total sale price exceeds £160,000 (3 marks)

b) The price of the sale in A exceeds the total sale price of the sales in B and C (3 marks)