Consider the accompanying Venn diagram, where P(E₁) = 0.09, P(E2) = 0.05, P(E3) = P(E4)=0.22, P(E5)=0.04, P(E6) = 0.28, P(E7)=0.08, and P(Eg)=0.02. Complete parts a through g. Click the icon to view the Venn diagram. a. Find P(AC). Venn Diagram P(A) = (Type an integer or a decimal. Do not round.) OE₁ E30 E2 b. Find P(B). P(B) = (Type an integer or a decimal. Do not round.) A OEA B Es c. Find P(A° nB). E E6° P(AB) = (Type an integer or a simplified fraction.) Es d. Find P(A U B). P(A U B) = (Type an integer or a decimal. Do not round.) e. Find P(A n B). P(ANB)= (Type an integer or a decimal. Do not round.) f. Find P(A°n B°). P(AB) = (Type an integer or a decimal. Do not round.) Print Done g. Are events A and B mutually exclusive? Why? A. Yes, because AnB contains no sample points, meaning A and B have no sample points in common. B. No, because An B contains no sample points, meaning A and B have no sample points in common. OC. No, because An B contains sample points, meaning A and B have sample points in common. D. Yes, because An B contains sample points, meaning A and B have sample points in common. S

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 41SGR
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Consider the accompanying Venn diagram, where P(E₁) = 0.09, P(E2) = 0.05, P(E3) = P(E4)=0.22, P(E5)=0.04, P(E6) = 0.28, P(E7)=0.08, and P(Eg)=0.02. Complete parts a through g.
Click the icon to view the Venn diagram.
a. Find P(AC).
Venn Diagram
P(A) = (Type an integer or a decimal. Do not round.)
OE₁
E30
E2
b. Find P(B).
P(B) = (Type an integer or a decimal. Do not round.)
A
OEA
B
Es
c. Find P(A° nB).
E
E6°
P(AB) = (Type an integer or a simplified fraction.)
Es
d. Find P(A U B).
P(A U B) = (Type an integer or a decimal. Do not round.)
e. Find P(A n B).
P(ANB)=
(Type an integer or a decimal. Do not round.)
f. Find P(A°n B°).
P(AB) = (Type an integer or a decimal. Do not round.)
Print
Done
g. Are events A and B mutually exclusive? Why?
A. Yes, because AnB contains no sample points, meaning A and B have no sample points in common.
B. No, because An B contains no sample points, meaning A and B have no sample points in common.
OC. No, because An B contains sample points, meaning A and B have sample points in common.
D. Yes, because An B contains sample points, meaning A and B have sample points in common.
S
Transcribed Image Text:Consider the accompanying Venn diagram, where P(E₁) = 0.09, P(E2) = 0.05, P(E3) = P(E4)=0.22, P(E5)=0.04, P(E6) = 0.28, P(E7)=0.08, and P(Eg)=0.02. Complete parts a through g. Click the icon to view the Venn diagram. a. Find P(AC). Venn Diagram P(A) = (Type an integer or a decimal. Do not round.) OE₁ E30 E2 b. Find P(B). P(B) = (Type an integer or a decimal. Do not round.) A OEA B Es c. Find P(A° nB). E E6° P(AB) = (Type an integer or a simplified fraction.) Es d. Find P(A U B). P(A U B) = (Type an integer or a decimal. Do not round.) e. Find P(A n B). P(ANB)= (Type an integer or a decimal. Do not round.) f. Find P(A°n B°). P(AB) = (Type an integer or a decimal. Do not round.) Print Done g. Are events A and B mutually exclusive? Why? A. Yes, because AnB contains no sample points, meaning A and B have no sample points in common. B. No, because An B contains no sample points, meaning A and B have no sample points in common. OC. No, because An B contains sample points, meaning A and B have sample points in common. D. Yes, because An B contains sample points, meaning A and B have sample points in common. S
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