Questions are listed below

The number of home runs hit by each of the 16 regular first basemen during the 1940 Major League baseball season is given in the following table (regular is being defined as the player that started the most games at first base for each team that season): a) Find the range, mean, median, and mode of the data set Player Team Home Runs Jimmie Foxx BOS (AL) 36 Buddy Hassett BOS (NL) 0 Dolph Camilli BRK (NL) 23 Joe Kuhel CHI (AL) 27 Rip Russell CHI (NL) 5 Frank McCormick CIN (NL) 19 Hal Trosky CLE (AL) 25 Rudy York DET (AL) 33 Babe Dahlgren NY (AL) 12 Babe Young NY (NL) 17 Dick Siebert PHL (AL) 5 Art Mahan PHL (NL) 2 Elbie Fletcher PIT (NL) 16 George McQuinn STL (AL) 16 Johnny Mize STL (NL) 43 Zeke Bonura WAS (AL) 3

a) Find the range, mean, median, and mode of the data set

b) What proportion of the data is within 1 standard deviation of the sample mean?

c) Construct a histogram using classes of size 8 using 0 as the minimum possible value.

Suppose that there are a total of 18 students in an elementary school class. The teacher assigns each of the students a report on a mainland country in either North America or South America (not including the United States) and each student is assigned a different country. The North American countries that the teacher has to pick from are Belize, Canada, Costa Rica, El Salvador, Guatemala, Honduras, Mexico, Nicaragua, and Panama (for a total of 9 countries) and the South American countries they have to pick from are Argentina, Bolivia, Brazil, Chile, Colombia, Ecuador, French Guiana, Guyana, Paraguay, Peru, Suriname, Uruguay, and Venezuela (for a total of 13 countries). Assuming that the order in which the countries are assigned doesn’t matter:

a) In how many ways can the countries be assigned so that all of the South American countries are assigned?

b) In how many ways can the countries be assigned so that there is at least one North American that is not assigned and at least one South American country that is not assigned?

Three marbles are chosen without replacement from a box containing 9 red, 4 blue, and 11 yellow marbles. Let X be the number of red marbles chosen.

a) Find and graph the probability distribution of X. 

b) Find the mean of the random variable X.