Question

(1 point) Suppose the sample space of a statistical experiment is {A, B, C'), where P(A) = 0.32 and P(B) = 0.55. Determine:(a) P(C) =

Answer 1

For P(C):

We know that P(A)= 0.32 and P(B) = 0.55

Then, P(A)+P(B) +P(C) = 1

Replacing:

0.32 + 0.55 +P(C) = 1

P(C) = 1-0.32 -0.55

P(C)=0.13

Now, we need to find Ac:

It means the complement of A, all the value that A needs to get 1 value:

Ac = 1- 0.32

Ac=0.68