Please help me find p(X=x) and x*P(X=x) to complete the table

Question

Suppose that you are offered the following "deal." You roll a die. If you roll a six, you win $10. If you roll a four or five, you win $5. If you roll a one, two, or three, you pay $4.

Construct a PDF. (Enter your answers for P(X = x) as fractions. Round your answers for x · P(X = x) to two decimal places.)

	X	P(X = x)	x · P(X = x)
6	10
4 or 5	5
1, 2, or 3	-4

Answer 1

x P(X = x) x*P(x)

6 10 1/6 10/6

4 or 5 -5 2/6 -10/6

1, 2, 3 -4 3/6 -12/6

sum -12/6 = -2