Question

Please show work for all points

In order to get a full credit, you need to show all work. 1) An octahedron is a solid with eight faces. Each face is shaped like a triangle with four faces a "1" is painted. On three faces a "3" is painted. And, on one face a "5" is painted. The experiment consists of tossing the solid twice, and X is the sum of the numbers on the top face each time. a) List the possible values of X. (Use a table to show the sample space.) Hint: Think about tossing 2 fixed dice. b) Compute the probability distribution for X to four decimal places. c) State the meaning of P(X).

Answer 1

a)

X = 2,4,6,8,10

b)

P(x) 2 0.2500 40.3750 6 0.2656 8 0.0938 10 0.0156

c)

Mean P(x) = 0.2

d)

$\mu = 0.9$

e)