From a sample of 1000 people we obtain the following table: Right-handed (R) Left-handed (L) TOTAL Female (F) 504 46 550 Male (M) 406 44 450 TOTAL 910 90 1000 (a) Find the following probabilities: (i) P(L) (ii) P(L given F), i.e. P(L|F) (iii) P(F given L), i.e. P(F|L)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
icon
Related questions
Question
2. From a sample of 1000 people we obtain the following table:
Right-handed (R)
Left-handed (L)
TOTAL
Female (F)
504
46
550
Male (M)
406
44
450
TOTAL
910
90
1000
(a) Find the following probabilities:
(i) P(L)
(ii) P(L given F), i.e. P(L|F)
(iii) P(F given L), i.e. P(F|L)
(iv) P(M or R), i.e. P(M U R)
(b) Are gender (F or M) and left-handedness independent? Explain your answer.
Transcribed Image Text:2. From a sample of 1000 people we obtain the following table: Right-handed (R) Left-handed (L) TOTAL Female (F) 504 46 550 Male (M) 406 44 450 TOTAL 910 90 1000 (a) Find the following probabilities: (i) P(L) (ii) P(L given F), i.e. P(L|F) (iii) P(F given L), i.e. P(F|L) (iv) P(M or R), i.e. P(M U R) (b) Are gender (F or M) and left-handedness independent? Explain your answer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning