Question

Among American voters, 20 percent are independents. In a randomly selected group of 15 American voters,...

  1. Among American voters, 20 percent are independents. In a randomly selected group of 15 American voters, what is the probability (Use Binomial Probability Distribution) that
  1. Exactly 3 are independents
  2. None is an independent
  3. 5 or fewer are independents
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Let X be the number of independents among the randomly selected group of 15 American voters.

X ~ Binomial(n = 15, p = 0.2)

a.

Probability that exactly 3 are independents =

b.

Probability that none are independents =

c.

Probability that 5 or fewer are independents =

= 0.03518437 + 0.13194140 + 0.23089744 + 0.25013890 + 0.18760417 + 0.10318229

=  0.9389486

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