In a certain congressional district, it is known that 20% of the registered voters classify themselves as conservatives. If ten registered voters are selected at random from this district, what is the probability that six of them will be conservatives

Step-by-step explanation:

We would assume that a randomly selected registered voter, x is classified as a conservative or not. It means that there are only 2 possible outcomes. Thus, it is a binomial probability distribution and the probability of success, p is that a randomly selected voter is classified as a conservative. Therefore,

p = 20% = 20/100 = 0.2

Number of trials, n = 10

Number of success, x = 6

The probability that six out of 10 would be conservatives is expressed as

P(x = 6)

Using the binomial probability calculator,

P(x = 6) = 0.0056

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

hi how are you doing today? if you ever need just tell me

step-by-step explanation: