Hi Tutor Expert, This is the Question 1a and 1b in four part each (i,ii,iii and iv)

Question 1a.

A researcher at a large department store finds that 30% of customers are coerced into buying an item. The researcher also finds that when coerced to buy an item, the shopper returns the item for refund 20% of the time. If a shopper is not coerced into buying an item then that item is returned 1% of the time.

i)Construct a fully labelled tree diagram to represent the above information. Hint: Firstly useCto represent the event that a shopper is coerced into buying an item and then useRto represent the event that an item is returned.

ii)Identify the branches on your tree diagram where an item is returned and use this to calculate the probability that an item is returned.

iii)Given an item is returned, calculate the probability that the shopper had been coerced into buying it.

iv)Interpret your answer in part iii) and based upon this suggest how management might use this information to guide staff sales conduct.

Question 1b.

The picture below

b) A restaurant chain routinely surveys customers regarding their dining experience and their intention to return within the next fortnight. The following table summarises the ndings of the most recent survey. Answer the following questions based on these data and using appropriate notation and working. Rating Customer will Customer will Totals return not Return (Customer Experience)