Name Assignment #8 1. Determine whether these events are mutually exclusive. a)
ID: 3051796 • Letter: N
Question
Name Assignment #8 1. Determine whether these events are mutually exclusive. a) Roll a die: Get an even number, and get a number less than 3. b) Roll a die: Get a prime number (2, 3, 5), and get an odd number, c) Roll a die: Get a number greater than 3, and get a number less than 3. d) Select a student in your class: The student has blond hair, and the student has blue eyes. Select a student in your college: The student is a sophomore, and the student is a business major Select any course: It is a calculus course, and it is an English course. Select a registered voter: The voter is a Republican, and the voter is a Democrat. e) f) g) 2. Selecting an Instructor At a convention there are 7 mathematics instructors, 5 computer science instructors, 3 statistics instructors, and 4 science instructors. If an instructor is selected, find the probability of getting a science instructor or a math instructor 3. Selecting a Student In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females, and 12 of the juniors are males. If a student is selected at random, find the probability of selecting the following. [Hint: Construct a two way table] a) A junior or a female b) A senior or a female c) A junior or a senior 4. Cable Channel Programming Three cable channels (6, 8, and 10) have quiz shows, comedies, and dramas. The number of each is shown here. Channel Channel Channel 8 Type of show 10 Quiz show Comedy Drama 2 2 4 4 2 If a show is selected at random, find these probabilities. a) The show is a quiz show, or it is shown on channel 8. b) The show is a drama or a comedy. c) The show is shown on channel 10, or it is a drama.Explanation / Answer
1) Two events are mutually exclusive if they dont have any common elements
a) Not mutually exclusive
b) Not mutually exclusive
c) Mutually exclusive
d) Not mutually exclusive
e) Not mutually exclusive
f) Mutually exclusive
g) Mutually exclusive
2) P(science or math instructor) = (7+4)/(7+5+3+4)
= 11/19
P.S: Please post different questions separately
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