Forty percent of the homes constructed in the quail creek area include a security system. three homes are selected at random: what is the probability all three of the selected homes have a security system

0.064

Step-by-step explanation:

Binomial probability formula :-

, where P(x) is the probability of getting success in x trials, n is total number of trials and p is the probability of getting succes in each trial.

Given : The proportion of the homes constructed in the Quail Creek area include a security system :  

Now, if three homes are selected at random, then the probability all three of the selected homes have a security system is given by :-

Hence, the probability all three of the selected homes have a security system = 0.064

its 4 because 2 times 2 is 4, if you double the number two you get four