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?

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

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.

depends on what they need

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