After working at a Coffee Shopfor many years, the manager noticed a trend and decided to collect some data.The following are the results regarding customers' ordering preferences for customers that purchase a single drink and a single food item:

(i) 30%of the customers ordered Regular Coffee, 50%ordered Lattes, and 20%ordered Tea.

(ii) 60%of the customers ordered a Muffin with their drink, while40% ordered a sandwich withtheir drink.

(iii) The event that a customer would order aRegular Coffee isindependentof the event that a customer would ordera Muffin.

(iv) The events that a customer would order Teaand the event that a customer would order a sandwich aremutually exclusive (disjoint).

The table below provides the information from (i) and (ii) above (representing the percentages as probabilities).

Use the information in (iii) and (iv) above to fill out the middle cell entries that are missing in thetable below.

Be sure toprovide explanations for how you arrived at each answer.

Regular CoffeeLatteTeaTotalMuffin(a)=_____(c)=_____(e)=_____0.60Sandwich(b)=_____(d)=_____(f)=_____0.40Total0.300.500.201