1 40C ABC .. EACS 6023 Homework #2 Fall 2021[20757] - Compatibility Mode - Saved to my Mac Design Layout References Mailings Review View Zotero Tell me Share Comments 12 AA Aa laBbCcDdE AaBbCCD AaBbCcDdE AaBbCcDdl AaBbCcDdEe AaBbCcD U U v A- DAY Emphasis Heading 1 Normal Strong Subtitle Title Styles Dictate Editor Pane (8 points) All faculty at a regional post-secondary institution were surveyed to determine how many courses they taught the last academic year, including the Summer sessions. The table below provides the results of this survey: # of courses taught # of faculty 15 19 45 a. If we regard these faculty as a sample, what are the mean number of courses taught and the sample standard deviation? Remember to use proper notation and show your work. b. If we regard these faculty as a population, what are the population mean, standard deviation, and variance? Remember to use proper notation and show your work. (7 points) A sample of 100 students in grades 9 to 12 are selected at random and asked if they are studying a language other than English. All students are only allowed to study one foreign language at a time, if they choose to at all. The relative frequencies are recorded in the following table (there were no missing data). Answer the question below. Language Relative Studied Frequency Spanish -24 French 15 German .33 All other .25 None 03 Does this table represent a legitimate probability distribution? Explain. Focus EE- + 120% English (United States)