In one town, 39% of all voters are democrats. if two voters are randomly selected for a survey, find the probability that they are both democrats. round to the nearest thousandth if necessary.

The probability is 0.152

Step-by-step explanation:

We know that in this town 39% of all voters are Democrats. Therefore, the probability of a randomly selected voter being a Democrat is

The experiment of randomly select voters for a survey is called a Bernoulli experiment (under some suppositions). We suppose that exist independence in this randomly selection of voters. We also suppose that there are only two possibilities for the voter : It is Democrat or not.

Now the variable X : ''The randomly selected voter for a survey is Democrat'' is a Binomial random variable.

X ~ Bi (n,p)

The probability function for the BInomial random variable X is :

Where ''n'' is the number of Bernoulli experiments (In this case n = 2 because we randomly selected two voters)

P(X=x) is the probability of the variable X to assumes the value x

(nCx) is the combinatorial number define as

p = 0.39 in this exercise.

We are looking for P(X=2) ⇒

If we round to the nearest thousandth the probability is 0.152

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s

step-by-step explanation: