PART I.

Hans Langenscheidt is a German historian studying various demographic characteristics German immigrants and their influence on colonial America in eighteenth century. Although accurate records are found rarely, some records showed that the cost of an adult fare (one freight) from Rotterdam to New York was approximately $2000 in today's currency.Children between the ages of 4 and 13 were charged at half the adult rate (one-half freight). Children under 4 were not charged.He was also able to find a partial list of passengers for a ship called NeuWelt.This list contains the names of the head of families, a list of family members traveling with them, their parish of origin, and the number of freights each family purchased. Unfortunately, some information is missing for some families on this list. Langenscheidt believes that the demographic parameters of the passenger list are likely to be similar to those of the other numerous voyages taken from Germany to America during the mid-eighteenth century. Assuming that he is correct, he believes that it is appropriate to create a discrete probability distribution for a number of demographic variables for this population of German immigrants. His distributions are presented in the Excel 1 file attached in the Final Project learning object.

Based on this background information and the distributions data on the Excel file, answer the following questions. In your answers provide any supporting statistical work (graphs, probability calculations, etc.) and be thorough in your explanations. Summarize all your findings in a report.

A B C D E F G H K M Probability Distribution of the Probability Distribution of the Known Numbers of Freights Number of Families per Parish of Probablylity Distribution of the Purchased by the German Families German Immigrants on Board the Known Numbers of People in a on Board the ship NueWelt in mid- ship NueWelt in mid-18th century Family for the Germans on Board the 18th century Number of Families ship NueWelt in mid-18th century per Parish Probablylity Number of Probability Number in Freights Family Probability w 0.706 1.0 0.075 1 0.322 IN 0.176 1.5 0.025 IN 0.186 OUT A 3 0.000 2.0 0.425 3 0.136 0.059 2.5 0.150 4 0.102 0.000 3.0 0.125 0.051 6 0.059 3.5 0.100 0.136 4.0 0.050 0.034 5.0 0.025 0.017 6.0 0.025 12 0.016