Question

1. Define PS to be the event that a college student owns a Playstation 4, and X to be the event that a college student owns an Xbox One.We know P( PS) = 0.7 and P(X) = 0.4. Are the events PS and X Mutually Exclusive(disjoint)?

a) Yes

b) No

2. We also know P( PS|X) = 0.75. Find the probability a college student owns both a Playstation 4 and an Xbox One. Recall that P( PS ) = 0.7 and P(X) = 0.4

a) P(X and PS) = Cake is good

b) P(X and PS) = 0.28

c) P(X|PS) = 0.4286

d) P(X and PS) = 0.3

3. Are the events PS and X independent of each other? Recall that P( PS ) = 0.7, P( X ) = 0.4 and P( PS|X ) = 0.75

a) Yes, because P( PS) ≠ P( PS|X )

b) No, because P( PS ) ≠ P( PS|X)

c) Yes, because P(PS & X) ≠ 0

d) America claimed its independence using an Xbox One

Answer 1