Research from a big private university show that 7 out of 10 graduating seniors completed

Question

1. Research from a big private university show that 7 out of 10 graduating seniors completed the major they intended when they enrolled at the school. What is the probability that

a. a particular student completed her/his intended major?

b. two different randomly selected students both completed their intended major?

c. two different randomly selected students completed a different major than the one they intended?

 

2. A student taking a midterm exam in Ancient History comes to two questions pertaining to a lecture that he missed, and so he decides to take a random guess on both questions. One question is true-false and the other is multiple choice with four possible answers. What is the probability of guessing

a. the correct answer to the true/false question?

b. the correct answer to the multiple choice question?

c. the correct answers to both the true/false question and the multiple choice question?

d. the incorrect answers to both the true/false question and the multiple choice question?

e. the correct answer to the true/false question and an incorrect answer to the multiple choice question? f. the incorrect answer to the true/false question and the correct answer to the multiple choice question?

3. The table below shows a random sample of musicians and how they learned to play their instruments. Complete the highlighted cells of the table and answer the following questions.

a. What is the probability of randomly selecting a musician who is female?

b. What is the probability of randomly selecting a musician who is a male AND had private instruction?

c. What is the probability of randomly selecting a musician is a female OR one that is self-taught?

d. Are the events “being a female musician” and “learning music in school” mutually exclusive events?

e. Are the events “being a female musician” and “learning music in school” independent events?

Answer 1

(1) consider using independent events

 

(2) same as (1)

 

(3) table???