Consider the follow probability distribution.

x= -2 -1 0 1 2

p(X=x) 0.10 0.20 0.40 0.20 0.10

i.Show that this is a valid probability distribution using the two properties from lecture.

ii. Find Ux

A:

iii. FindU100x

A:

iv. Based on (ii) and (iii), what can you say about the value UaX, where a is any number.

A:

v. What is P(X = 0)?

A:

vi. What is P(X > 0)?

A:

vii. What is P(X greater than or equal to 0)?

A:

viii. What is P(X greater than or equal to-2)?

A:

ix. What is P(X > 2)?

A.