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.

Importance Of Organ Donation Essay - 1660 Words

Farr 7 Farr 1 Alexis D. Farr Professor Steve Ryno English 121 28 November 2017 The Importance of Organ Donation While researching about organ donation, many articles brought forth the fact of how important organ donation is. This topic, however, is a big controversy among many people, especially families. Several articles, magazines, and previous research articles all share what organ donation really is and why it is important. By being a donor, you can save many lives in the end. My goal for this paper is to bring forth the importance of organ donation. Reasons to why it is a great thing to be a part of, and what it does for us and others. Organ Donation started way back in 1954 on December 23. The first living-related kidney†¦show more content†¦This is a treatment used to lower blood antibody levels. The second test is the Tissue (HLA) Typing. It is mentioned in the article, Blood Test for Transplant, that each persons tissues are different from everyone elses, except for identical twins. The better the HLA match, the better the suc cess rate of the transplant lasting a long period of time. For example, a parent and a child would have at least a 50% match rate and siblings would have at least a 0 to 100% match due to genetics being passed down. The better the HLA match, the better the success an organ will last over time. Another test is to measure antibodies to HLA. This test is repeated frequently and is dependent on the transplant program policy. The last major test is the Cross-Match. This is tested between you and a donor multiple times before the surgery. This is when the donors cells are mixed with your serum. The result from this will show if your body went against the cells or went along with them. If the antibodies are high, this means the donors cells will be destroyed and the transplant cannot happen. Organ donations can be transplanted to individuals in need of a specific organ or tissue, due to an accident, disease, or a condition that an individual may have encountered. Popular demands of organs variety from eyes, skin, liver, kidneys, heart, pancreas, lungs, bones, arteries, and veins. Though a donor can be alive or dead, all organsShow MoreRelatedThe Importance of Promoting Organ Donations Essay1182 Words   |  5 PagesAround the globe thousands of people are placed on a waiting list to receive an organ transplant, for some people the waiting process can be very long, and for others it can be short. To many people having someone give a gift of an organ donation is known has a second chance, a fresh start, and a new beginning at living a normal life again. 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Discussion of Integrated Marketing Communications in Samsung

Question: Discuss about theIntegrated Marketing Communicationsfor Samsung. Answer: Background The report discusses about the evaluation of Integrated Marketing Communication programs taken up by Samsung for recreating the image of the brand after the battery explosion case of Samsung Galaxy Note7. The campaigns are organised in order to regain the confidence of consumer. Recently, Samsung faced a decreased market share after the battery explosion case in Note 7 and after this Samsung has developed a campaign called Commitment to Quality which was ineffective. Strategy Statement The strategy statement of Samsung is to create its brand value among the top 5 global players in the industry and to regain its consumer confidence back by communicating well with the customers. Brand Positioning of Samsung After the case of battery explosion in Samsung Galaxy Note 7, Samsung came up with a campaign Commitment to Quality in which it shows how Samsung has taken actions and commitment to check why the issue occurred. They uploaded a video on social media to show what steps they have taken for ensuring the safety and security of the customers. They showcase that they constantly try to introduce new products and innovative technologies so that customers get something new everytime. The brand regularly promotes its products for gaining popularity and to gain loyalty from the customers (Spence, 2016). It can also be represented through a perceptual map which shows how target customers view the competing alternatives in the market in a visual format (Yumusak, Yilmaz Gungordu, 2016). Figure 1: Perceptual map for Samsung The perceptual map given above shows that Samsung is an innovation led brand which always provides exciting and trendy features to its customers. It believes in providing something new always which keeps it on the top position in the eyes of the customers (Yumusak, Yilmaz Gungordu, 2016). Objective of the Message The objective of the message floated in the video on You Tube was to make people believe that the brand care for its customers. The video shows this by focussing on the Quality assurance and by making the customers believe that safety has always been the priority of the company. It started a research on big scale to know the actual reasons behind the battery explosion. It also aims at showing that Samsung has invested a lot just for the sake of safety and security of the customers so that they can get best products from Samsung. Target Audience The target audience for Samsung and its promotional campaign are the ones who suffered from the battery explosion crisis and lost their trust from the brand. The target audience also include the customers who were interested in the buying the products of Samsung but switched to other brand after the case. The brand wants to regain the trust and loyalty from its existing customers and want to attract potential customers in the market who are in search of innovative and quality smartphones (Samsung Newsroom, 2016). The customers wanted exchange or refund for their Galaxy Note 7 handsets when the case of explosion came into their knowledge. The brand success affected a lot and it seems like Samsung will have to invest years in gaining the popularity and loyalty back. The customers reacted instantly when the company declared 100% recall for the sets. There was 96% recall of handsets within three months. The customers were diverted for buying the products of other company like Sony and Apple (Griffiths Kamouni, 2017). The company wanted to make the target audience feel that the company is always dedicated for the safety of its customers. Samsung wanted to be known as the innovative and smart company among its customers (Shivali, 2016). It wants to regain its image as the top most smartphone brand across the world. Samsung recalled the sets to make sure that the customers feel valued. The company wanted the customers to feel that the company is transparent with them and shared the research and its findings with the customers so that they could also know the main issue with the particular model (Shivali, 2016). Samsung wanted the target audience to trust the brand. That is why; they identified the issue and announced it. They created 8 point battery testing system which is done to assure customers about the commitment of Samsung for its customers. Samsung apologized to its customers and promised them to have a strong comeback soon (Samsung Newsroom, 2016). Figure 2: Samsung message to the customers Source: Sylvia (2017) Samsung has tried to make every possible effort so that it can establish a good communication with its customers and talk about the real issues behind the battery explosion cases. Samsung believed that this will reinstate the trust among the customers. They uploaded a video on You Tube for fulfilling the purpose but the campaign failed. Samsung should redesign its message and should float it on social media, its corporate website and also on TV commercials so that the approach of the message could increase (Sullivan, 2017). Social media has evolved over the years. It has great approach and has huge impact on the customers. Samsung should communicate that Safety of Consumers is at their foremost priority through TV commercials. They could also run a campaign where they could invite customers to provide their reviews. Listening to the customers has always been of help for the company. The company should kill the brand name Note so that the bad memories of the incident could be erased from the minds of consumers (Cheng, 2016). Samsung could recreate the magic of its brand by taking the above discussed steps. Also, to save the reputation of the company, it should it should invest in building better designs and on advertising. It has to show that the company is working to improve the faulty processes of quality. Samsung has already taken a bold move of recalling its handsets Note 7 which is a proactive step by the company (Dholakia, 2016). This should be promoted to show that the company cares for its custom ers no matter how much loss the company has to suffer because of this. References Cheng, R 2016, Galaxy Note 7, RIP. Samsung, you've got to rebuild the trust, Cnet.com. Dholakia, U M 2016, Why Samsungs Note 7 Crisis wont hurt its brand long term, Harvard Business Review. Griffiths, J Kamouni, S 2017, Why are Samsung Galaxy Note 7 phones exploding, was there a recall and whats wrong with the batteries?, The Sun. Samsung Newsroom, 2016, [Statement] Samsung Will Replace Current Note7 with New One, Samsung, Retrieved from https://news.samsung.com/global/statement-on-galaxy-note7. Shivali, 2016, Samsung blames manufacturing issues for exploding Galaxy Note 7 phones: Firm says battery cell 'had some flaws', Daily Mail. Spence, E 2016, Stop Using Galaxy Note 7, Samsung's Exploding Battery Nightmare Continues, Forbes. Sullivan, M 2017, The Galaxy Note 7 Explosion Findings Could Change How Samsung Makes Smartphones, Fast Company. Sylvia, G 2017, Samsung Mobile "Committed To Quality" - Tech Giant Releases Online Video Explaining What The Heck Happened With Those Batteries, AdStasher. Yumusak, T, Yilmaz, K G Gungordu, A 2016, Perceptual Maps of Smart Phones with Multi-Dimensional Scaling Analysis, International Journal of Research In Social Sciences.

Marco Polo Essays (298 words) - Marco Polo, Kublai Khan, Cathay

Marco Polo POLO, Marco (1254-1323?). In 1298 a Venetian adventurer named Marco Polo wrote a fascinating book about his travels in the Far East. Men read his accounts of Oriental riches and became eager to find sea routes to China, Japan, and the East Indies. Even Columbus, nearly 200 years later, often consulted his copy of 'The Book of Ser Marco Polo'. In Marco's day the book was translated and copied by hand in several languages. After printing was introduced in the 1440's, the book was circulated even more widely. Many people thought that the book was a fable or a gross exaggeration. A few learned men believed that Marco wrote truly, however, and they spread Marco's stories of faraway places and unknown peoples. Today geographers agree that Marco's book is amazingly accurate. Marco Polo was born in the city-republic of Venice in 1254. His father and uncles were merchants who traveled to distant lands to trade. In 1269 Marco's father, Nicolo`, and his uncle Maffeo returned to Venice after being away many years. On a trading expedition they had traveled overland as far as Cathay (China). Kublai Khan, the great Mongol emperor of China, asked them to return with teachers and missionaries for his people. So they set out again in 1271, and this time they took Marco. From Venice the Polos sailed to Acre, in Palestine. There two monks, missionaries to China, joined them. Fearing the hard journey ahead, however, the monks soon turned back. The Polos crossed the deserts of Persia (Iran) and Afghanistan. They mounted the heights of the Pamirs, the "roof of the world," descending to the trading cities of Kashgar (Shufu) and Yarkand (Soche). They crossed the dry stretches of The Gobi. Early in 1275 they arrived at Kublai Khan's court at Cambaluc (Peking). At that time Marco was 21 years old.