Aspects of Life in Puerto Rico essays

Aspects of Life in Puerto Rico essays Imagine all the nations in the world belonging to one big family. The United States would be the father, China the mother, Japan the daughter, France the son, and so on. In this family of nations, Puerto Rico would only be a family relative. Proud to be American citizens and part of the United States, its culture and social mores are defiantly Spanish. Puerto Rico is a gorgeous, sunny island of many different colors. It has green trees, fields and forests, brown hills, and white, sandy beaches. Puerto Rico is famous for its beautiful beaches, warmhearted people, and delicious foods. In fact, Puerto Rico is also known to be the oldest community under the American Flag. Christopher Columbus discovered the lovely island on November 19, 1493 during his second voyage to the new world. Columbus decided to call the island San Juan Bautista (St. John the Baptist) in honor of King Ferdinand and Queen Isabella of Spain. Their son was named Juan and Columbus wanted to show gratitude because the king and queen gave him the money to buy the ships he used to sail the new world. Before Columbus named the island San Juan Bautista, it was called Boriquen but a lieutenant to Columbus named Juan Ponce de Leon decided to call the island Puerto Rico (rich port). Puerto Rico known as Boriquen wasnt exactly empty when Christopher Columbus found it. The first Puerto Ricans to occupy the tropical paradise was an Indian tribe called the Taino Indians. The Tainos lived in small villages and were led by a Cacique, or chief. The Taino Indians were branded to be very kind, peace- loving and generous people. But the Spaniards didnt appreciate the Tiano Indians. They took over the island, and turned the Taino Indians into slaves. Today the word Taino is still used to describe the people of Puerto Rico. What is a Puerto Rican? Ive heard the questions plenty of times. Of course, Puerto Rican are people who live in, or come f...

Using Standard Normal Distribution in Mathematics

Using Standard Normal Distribution in Mathematics The standard normal distribution, which is more commonly known as the bell curve, shows up in a variety of places. Several different sources of data are normally distributed. As a result of this fact, our knowledge about the standard normal distribution can be used in a number of applications. But we do not need to work with a different normal distribution for every application. Instead, we work with a normal distribution with a mean of 0 and a standard deviation of 1. We will look at a few applications of this distribution that are all tied to one particular problem. Example Suppose that we are told that the heights of adult males in a particular region of the world are normally distributed with a mean of 70 inches and a standard deviation of 2 inches. Approximately what proportion of adult males are taller than 73 inches?What proportion of adult males are between 72 and 73 inches?What height corresponds to the point where 20% of all adult males are greater than this height?What height corresponds to the point where 20% of all adult males are less than this height? Solutions Before continuing on, be sure to stop and go over your work. A detailed explanation of each of these problems follows below: We use our z-score formula to convert 73 to a standardized score. Here we calculate (73 – 70) / 2 1.5. So the question becomes: what is the area under the standard normal distribution for z greater than 1.5? Consulting our table of z-scores shows us that 0.933 93.3% of the distribution of data is less than z 1.5. Therefore 100% - 93.3% 6.7% of adult males are taller than 73 inches.Here we convert our heights to a standardized z-score. We have seen that 73 has a z score of 1.5. The z-score of 72 is (72 – 70) / 2 1. Thus we are looking for the area under the normal distribution for 1z 1.5. A quick check of the normal distribution table shows that this proportion is 0.933 – 0.841 0.092 9.2%Here the question is reversed from what we have already considered. Now we look up in our table to find a z-score Z* that corresponds to an area of 0.200 above. For use in our table, we note that this is where 0.800 is below. When we look at the table, we see that z* 0.84 . We must now convert this z-score to a height. Since 0.84 (x – 70) / 2, this means that x 71.68 inches. We can use the symmetry of the normal distribution and save ourselves the trouble of looking up the value z*. Instead of z* 0.84, we have -0.84 (x – 70)/2. Thus x 68.32 inches. The area of the shaded region to the left of z in the diagram above demonstrates these problems. These equations represent probabilities and have numerous applications in statistics and probability.