Question

In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 14% of voters are Independent. A survey asked 16 people to identify themselves as Democrat, Republican, or Independent. A. What is the probability that none of the people are Independent

Answer 1

Answer: 43/50

Step-by-step explanation:

recall that, It is believed that 14% of voters are Independent

therefore,

14/100 = 7/50 is the probability that of people that are Independent

hence,

the probability that none of the people are Independent OR the probability of people that are not Independent is

1 - (7/50) = 43/50

Answer 2

Answer:

So, the probability that none of the people are Independent is P=0.089.

Step-by-step explanation:

We know that 14% of voters are Independent.  

So we can conclude that the other 86% of the voters are people who are not independent. So the probability that voters are not independent is p = 0.86, while q = 1-0.86 = 0.14.

$P=C^{16}_{16}\cdot p^{16}\cdot q^{0}\\\\P=1\cdot 0.86^{16}\cdot 0.14^0\\\\P=0.089$

So, the probability that none of the people are Independent is P=0.089.