Webwork Week 8

Event	Attend a 4-year college	Attend a junior college	Attend a technical school	Train as an apprentice	No formal training after high school
Probability	0.2	0.2	0.1	0.1	0.4

1. At a certain high school, if a student is selected at random and asked what they plan to do after graduating, the probability distribution for their response is given above. Determine the following:

(a) P(Do not attend a 4-year college) ___

(b) P(Receive some sort of formal training after high school)____

(c) P(Attend a technical school)____

1. Choose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. (You may assume that students are studying at most one language besides English.) Here is the distribution of the students:

Language	Spanish	French	German	All Others	None
Probability	0.29	0.09	0.04	0.04	0.54

(A). What is the probability that a randomly chosen student is, in fact, studying a language other than English? ANSWER

(B). What is the probability that a randomly chosen student is studying French, German, or Spanish? ANSWER

(C).What is the probability that a randomly chosen student is studying a language besides English, but not German? ANSWER

1. Choose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. (You may assume that students are studying at most one language besides English.) Here is the distribution of the students:

Suppose that, for students who are enrolled in college algebra, 75 percent are freshmen, 44 percent are female, and 29 percent are female and are freshmen. Your answers below should be entered as decimals and rounded to three decimal places.

(A).One student will be selected at random. What is the probability that the selected student will be a freshman or female (or both)?

(B).One student will be selected at random. What is the probability that the selected student will not be a freshman?

(C). Two students will be independently selected at random. What is the probability that both of the selected students will be female?

1. The home states of a certain group of people are distributed as follows: 59 percent are from MISSOURI, 22 percent are from KANSAS, and 19 percent are from IOWA. (No one in the group had a home state other than one of these three.)

(Note: Your answer to the question below should be rounded to three decimal places.)

(A).Suppose we randomly select a person from this group. What is the expected value of the number of letters in the selected person's home state?