A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Can you double-check my work and make any corrections if needed?
Transcribed Image Text:A poll of 220 students at a university reveals that 89 are taking a lab science course, and 57 are members of the Honors
College, while 11 are taking a lab science and are members of the Honors College. Let L= the event that a student is taking a
lab science, and H= the event that a student is a member of the Honors College. Complete parts (a) through (e) below.
a. Display this data in a Venn diagram. Choose the correct diagram below.
O A.
Oc.
в.
57 11) 89
76 11) 46
46 ( 11) 78
89 11) 57
b. A student is randomly chosen. Find P(L) and P(L NH') and explain what each number represents.
First determine the formula to use to find P(L).
n(L)
P(L) =
n(S)
89
(Simplity your answer.)
P(L) =
220
Determine the formula to use to find P(LNH).
P(LNH') =|
n(LNH')
n(S)
39
P(L NH') =
(Simplify your answer.)
110
Explain what P(L) and P(L NH') represent. Choose the correct answer below.
O A. P(L) is the probability a student is not a member of the Honors College. P(LN H') is the probability a student is
taking a lab science and is not a member of the Honors College.
O B. P(L) is the probability a student is taking a lab science. P(L N H') is the probability a student is taking a lab science
or is not a member of the Honors College.
C. P(L) is the probability a student is taking a lab science. P(LNH) is the probability a student is taking a lab science
and is not a member of the Honors College
O D. P(L) is the probability a student is not a member of the Honors College. P(LNH') is the probability a student is
taking a lab science or is not a member of the Honors College.
CA student is randomly chosen. Find P(H) and P(H nL') and explain what each number represents.
57
P(H) =
(Simplify your answer.)
220
| 23
P(H NL') =
(Simplity your answer.)
110
Explain what P(H) and P(H NL') represent. Choose the correct answer below.
A. P(H) is the probability a student is a member of the Honors College. P(H nL') is the probability a student is
a member of the Honors College and is not taking a lab science.
B. P(H) is the probability a student is a member of the Honors College. P(HNL') is the probability a student is
a member of the Honors College or is not taking a lab science.
OC. P(H) is the probability a student is not taking a lab science. P(H NL') is the probability a student is
a member of the Honors College and is not taking a lab science.
OD. P(H) is the probability a student is not taking a lab science. (HNL') is the probability a student is
a member of the Honors College or is not taking a lab science.
![d. A student is randomly chosen. Find P(L n H) and P (L N H)') and explain what each number represents.
P(L N H) = 20 (Simplify your answer.)
19
P(LN H)') = 20 (Simplify your answer.)
Explain what P(L n H) and P(L N H)') represent. Choose the correct answer below.
O A. P(L N H) is the probability a student is taking a lab science or is a member of the Honors College. P(L N H)') is
the probability a student is not taking a lab science and is not a member of the Honors College.
B. P(L N H) is the probability a student is taking a lab science or is a member of the Honors College. P(L N H)') is
the probability a student is not taking a lab science or is not a member of the Honors College.
C. P(LN H) is the probability a student is taking a lab science and is a member of the Honors College. P (L N H)') is
the probability a student is not taking a lab science and is not a member of the Honors College.
OD. P(LN H) is the probability a student is taking a lab science and is a member of the Honors College. P((LN H)') is
the probability a student is not taking a lab science or is not a member of the Honors Cllege.
e. Find the odds against each event in parts (c-d) occurring
First write an expression for the odds against H. Select all that apply.
DA. P(H):(1- P(L))
OC. P(H):(1- P(H'))
] E. P(H'). P(H)
OB. 1-P(H): P(H)
OD. (1- P(H'): P(H)
OF. P(H): P(H')
The odds against H occurring, in lowest terms, are 163: 57.
(Type whole numbers)
Next find the odds against HnL'occurring. First write an expression for these odds. Select all that apply.
OA. (1- P(H n L'): P(H n L')
OC. P(HNL'):(1- P(H N L')
DE. P(HNL'): (1-P((HNL))
OB. P(HNL'):P((HnL)')
OD. (1-P((HNL')2) P(HO L')
F. P((HNL')'): PHn L')
The odds against Hn L'occurring, in lowest terms, are (87] 23].
Next find the odds against LNH occurring. First write an expression for these odds. Select all that apply.
| A. P(LN H)') :P(L N H)
OC. P(LN H):(1 - P(L N H))
DE. PILNH): P(IL N H)
|B. P(LN H): (1-P(L N H'))
OD. (1-P(L N H): P(L N H)
OF. (1-P(LNH)')) : P(LN H)
The odds against Ln H occurring, in lowest terms, are 19 1
(Type whole numbers.)
The odds against (LN H)', in lowest terms, are 1: 19
(Type whole numbers.)](https://content.bartleby.com/qna-images/question/45b7440a-324f-476b-bae8-f4049dadf8e7/1cd531f9-1761-41d3-b796-f3871e602bd6/yitngg7_processed.png)
Transcribed Image Text:d. A student is randomly chosen. Find P(L n H) and P (L N H)') and explain what each number represents.
P(L N H) = 20 (Simplify your answer.)
19
P(LN H)') = 20 (Simplify your answer.)
Explain what P(L n H) and P(L N H)') represent. Choose the correct answer below.
O A. P(L N H) is the probability a student is taking a lab science or is a member of the Honors College. P(L N H)') is
the probability a student is not taking a lab science and is not a member of the Honors College.
B. P(L N H) is the probability a student is taking a lab science or is a member of the Honors College. P(L N H)') is
the probability a student is not taking a lab science or is not a member of the Honors College.
C. P(LN H) is the probability a student is taking a lab science and is a member of the Honors College. P (L N H)') is
the probability a student is not taking a lab science and is not a member of the Honors College.
OD. P(LN H) is the probability a student is taking a lab science and is a member of the Honors College. P((LN H)') is
the probability a student is not taking a lab science or is not a member of the Honors Cllege.
e. Find the odds against each event in parts (c-d) occurring
First write an expression for the odds against H. Select all that apply.
DA. P(H):(1- P(L))
OC. P(H):(1- P(H'))
] E. P(H'). P(H)
OB. 1-P(H): P(H)
OD. (1- P(H'): P(H)
OF. P(H): P(H')
The odds against H occurring, in lowest terms, are 163: 57.
(Type whole numbers)
Next find the odds against HnL'occurring. First write an expression for these odds. Select all that apply.
OA. (1- P(H n L'): P(H n L')
OC. P(HNL'):(1- P(H N L')
DE. P(HNL'): (1-P((HNL))
OB. P(HNL'):P((HnL)')
OD. (1-P((HNL')2) P(HO L')
F. P((HNL')'): PHn L')
The odds against Hn L'occurring, in lowest terms, are (87] 23].
Next find the odds against LNH occurring. First write an expression for these odds. Select all that apply.
| A. P(LN H)') :P(L N H)
OC. P(LN H):(1 - P(L N H))
DE. PILNH): P(IL N H)
|B. P(LN H): (1-P(L N H'))
OD. (1-P(L N H): P(L N H)
OF. (1-P(LNH)')) : P(LN H)
The odds against Ln H occurring, in lowest terms, are 19 1
(Type whole numbers.)
The odds against (LN H)', in lowest terms, are 1: 19
(Type whole numbers.)
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