State of Nature
Purchase	State 1	State 2
D1	50	37
D2	47	38
D3	48	30

Say a recent weekend at Burger Doodle, where you can eat in the car, the manager noted the receipts from customers and kept track of the amount of the receipt and the method of payment. Use the same numbers you used in your table in Q1, but now consider the numbers as the basis of a contingency table to answer the following questions.

	Cash or Credit
Purchase	Cash (Ca)	Credit (Cr)
Less the $50 (M1)	50	37
$50 to less than $100 (M2)	47	38
$100 + (M3)	48	30

a-P(Ca) =

b-P(M1) =

c-P(M1 and CA) =

d-P(M1 or CA) =

e-P(M1 Ca) =

f-explain how you know if M1 and Ca are independent or not.