In a population where 81 % of voters prefer candidate a, an organization conducts a poll of 18 voters. find the probability that 12 of the 18 voters will prefer candidate a.

0.069664≅0.070

Step-by-step explanation:

the question in based on binomial probability which means the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes p and q and p+q=1

let probability of choosing candidate A be p

and probability of choosing candidate B be q

In question p=0.81 and q=0.19

n be total number of voters=18

x be number of successes

then P(x=x)=

P(x=12)=  

= 0.069664≅0.070

therefore the probability of 12 voters out of 18 voting candidate A is 0.070

answer: 0+0=0

step-by-step explanation:

that is the only answer that can make 0

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!