Answer:
1
Step-by-step explanation:
The quantity n written to the left is called the index.
Radicals - The symbol n√x. used to indicate a root is called a radical and is therefore read "x radical n," or "the nth root of x." In the radical symbol, the horizontal line is called the vinculum, the quantity under the vinculum is called the radicand, and the quantity n written to the left is called the index.
Answer:
0% probability that 3 of them have insurance
Step-by-step explanation:
For each American, there are only two possible outcomes. Either they have insurance, or they do not. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
Twenty-percent (20%) of Americans have no health insurance.
This means that 80% have insurance, so ![p = 0.8](https://tex.z-dn.net/?f=p%20%3D%200.8)
Randomly sample n = 15 Americans.
This means that ![n = 15](https://tex.z-dn.net/?f=n%20%3D%2015)
What is the probability that 3 of them have insurance?
This is ![P(X = 3)](https://tex.z-dn.net/?f=P%28X%20%3D%203%29)
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 3) = C_{15,3}.(0.8)^{3}.(0.2)^{12} = 0](https://tex.z-dn.net/?f=P%28X%20%3D%203%29%20%3D%20C_%7B15%2C3%7D.%280.8%29%5E%7B3%7D.%280.2%29%5E%7B12%7D%20%3D%200)
0% probability that 3 of them have insurance
Linear inequalities with two variables have infinitely many ordered pair solutions, which can be graphed by shading in the appropriate half of a rectangular coordinate plane. To graph the solution set of an inequality with two variables, first graph the boundary with a dashed or solid line depending on the inequality.