25 points, what are the pros, and cons, of going to college, this could affect whether or not i want to go say give me personal experience, facts, and opinions .

Cons:

it costs a lot of money if you don't have a scholarship around $20,000 for tutionIt takes a lot of time in order to get through depending on the degree you chooseyou might have a loan which could take up your credityou might not want to finish and quit and if you do a loan then you will have to pay a loan for nothing.college doesn't grow your mind or expand your knowledge sometimes

Pros:

You will get a good education and have more job opportunities You will have proof of your education instead of just what is on your resúme.Make personal lasting relationships in college depending on the people you meet.A Degree Still Provides a Better ROI

Here is a source of some pros and cons: https://www.artofmanliness.com/articles/is-college-for-everyone-part-ii-the-pros-and-cons-of-attending-a-4-year-college/

0.0076 = 0.76% probability that less than 48.3% say they will vote for the incumbent.

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean and standard deviation , the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation

The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 54%. Sample of 450 voters.

This means that

What is the probability that in a random sample of 450 voters, less than 48.3% say they will vote for the incumbent?

This is the p-value of Z when X = 0.483. So

By the Central Limit Theorem

has a p-value of 0.0076

0.0076 = 0.76% probability that less than 48.3% say they will vote for the incumbent.