Question

A few Research survey asked 2,373 randomly sampled registered voters their political afiliation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.

Are being Independent and being a swing voter disjoint, i.e. mutually exclusive?

Answer 1

"No" is the right response. A further explanation is summarized below.

Step-by-step explanation:

Let,

I = Independent

S = Swing voters

The given values are:

P(I) = 35% i.e.,

= 0.35

P(S) = 23% i.e.,

= 0.23

P(I ∩ S) = 11% i.e.,

= 0.11

Now,

As we know that the value of P(I ∩ S) is 0.11 which is not equal to zero (0). So both being independent as well as being a swing voter aren't disjoint.