Homework Help is Here – Start Your Trial Now!
Math
Probability
1. On this problem, give exact answers using both fractions and exact decimals. One card is chosen from a set of cards that have ranks 1 to 6. Let X be the number on the card chosen. The distribution function for picking the cards is given as follows: m(1) = 6/100, m(2) = 33/100, m(3) = 11/100, m(4) = 37/100, m(5) = 8/100, m(6) = 5/100. Let E be the event "A card with an odd numbered rank is drawn," and F be the event "A card whose rank is less than or equal to 3 is drawn." (a) Compute P(E). (b) Compute P(F). (c) Before you compute P(Eʼn F), explain (in whole sentences) whether or not it is safe to use the formula P(E^ F) = P(E) · P(F) before knowing the answer to part (g). (d) Compute P(EΜF). (e) Compute P(F|E). (f) Compute P(E|F). (g) Based on some of your answers to parts (a), (b), (e), and (f), explain (in whole sentences) whether events E and F are independent or not. In your response, please write down which probabilities you are comparing, whether they are equal or not, and how their equality or difference shows that the events E and F are independent or not.

1. On this problem, give exact answers using both fractions and exact decimals. One card is chosen from a set of cards that have ranks 1 to 6. Let X be the number on the card chosen. The distribution function for picking the cards is given as follows: m(1) = 6/100, m(2) = 33/100, m(3) = 11/100, m(4) = 37/100, m(5) = 8/100, m(6) = 5/100. Let E be the event "A card with an odd numbered rank is drawn," and F be the event "A card whose rank is less than or equal to 3 is drawn." (a) Compute P(E). (b) Compute P(F). (c) Before you compute P(Eʼn F), explain (in whole sentences) whether or not it is safe to use the formula P(E^ F) = P(E) · P(F) before knowing the answer to part (g). (d) Compute P(EΜF). (e) Compute P(F|E). (f) Compute P(E|F). (g) Based on some of your answers to parts (a), (b), (e), and (f), explain (in whole sentences) whether events E and F are independent or not. In your response, please write down which probabilities you are comparing, whether they are equal or not, and how their equality or difference shows that the events E and F are independent or not.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 55SE: Use the following scenario for the exercises that follow: In the game of Keno, a player starts by...
See similar textbooks
icon
Related questions
Question
1. On this problem, give exact answers using both fractions and exact decimals. One card is chosen from a set of cards that have ranks 1 to 6. Let X be the number on the card chosen. The distribution function for picking the cards is given as follows: m(1) = 6/100, m(2) = 33/100, m(3) = 11/100, m(4) = 37/100, m(5) = 8/100, m(6) = 5/100. Let E be the event "A card with an odd numbered rank is drawn," and F be the event "A card whose rank is less than or equal to 3 is drawn." (a) Compute P(E). (b) Compute P(F). (c) Before you compute P(Eʼn F), explain (in whole sentences) whether or not it is safe to use the formula P(E^ F) = P(E) · P(F) before knowing the answer to part (g). (d) Compute P(EΜF). (e) Compute P(F|E). (f) Compute P(E|F). (g) Based on some of your answers to parts (a), (b), (e), and (f), explain (in whole sentences) whether events E and F are independent or not. In your response, please write down which probabilities you are comparing, whether they are equal or not, and how their equality or difference shows that the events E and F are independent or not.
Transcribed Image Text:1. On this problem, give exact answers using both fractions and exact decimals. One card is chosen from a set of cards that have ranks 1 to 6. Let X be the number on the card chosen. The distribution function for picking the cards is given as follows: m(1) = 6/100, m(2) = 33/100, m(3) = 11/100, m(4) = 37/100, m(5) = 8/100, m(6) = 5/100. Let E be the event "A card with an odd numbered rank is drawn," and F be the event "A card whose rank is less than or equal to 3 is drawn." (a) Compute P(E). (b) Compute P(F). (c) Before you compute P(Eʼn F), explain (in whole sentences) whether or not it is safe to use the formula P(E^ F) = P(E) · P(F) before knowing the answer to part (g). (d) Compute P(EΜF). (e) Compute P(F|E). (f) Compute P(E|F). (g) Based on some of your answers to parts (a), (b), (e), and (f), explain (in whole sentences) whether events E and F are independent or not. In your response, please write down which probabilities you are comparing, whether they are equal or not, and how their equality or difference shows that the events E and F are independent or not.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 1 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
SEE MORE TEXTBOOKS