The Venn diagram below shows the 14 students in Ms. Henderson's class. The diagram shows the memberships for the Art Club and the Dance Club. A student from the class is randomly selected. Let A denote the event "the student is in the Art Club." Let B denote the event "the student is in the Dance Club." The outcomes for the event A are listed in the circle on the left. The outcomes for the event B are listed in the circle on the right. Note that Melissa is outside the circles since she is not a member of either club. Answer each part below. If necessary, consult a list of formulas.
The Venn diagram below shows the 14 students in Ms. Henderson's class. The diagram shows the memberships for the Art Club and the Dance Club. A student from the class is randomly selected. Let A denote the event "the student is in the Art Club." Let B denote the event "the student is in the Dance Club." The outcomes for the event A are listed in the circle on the left. The outcomes for the event B are listed in the circle on the right. Note that Melissa is outside the circles since she is not a member of either club. Answer each part below. If necessary, consult a list of formulas.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![The Venn diagram below shows the 14 students in Ms. Henderson's class.
The diagram shows the memberships for the Art Club and the Dance Club.
A student from the class is randomly selected.
Let A denote the event "the student is in the Art Club."
Let B denote the event "the student is in the Dance Club."
The outcomes for the event A are listed in the circle on the left.
The outcomes for the event B are listed in the circle on the right.
Note that Melissa is outside the circles since she is not a member of either club.
Answer each part below. If necessary, consult a list of formulas.
Melissa
Laura
Kala
Jim
Ivanna
Eric
Pablo
Art
Deshaun
Yolanda
Rachel
Dance
Carmen
Salma
Debra
Omar](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7be0f0e4-45ff-40bd-a6f7-339e48cd5dea%2Fdaf3433c-f15a-40c1-b130-66edb59f9b3a%2Fdmgh617_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The Venn diagram below shows the 14 students in Ms. Henderson's class.
The diagram shows the memberships for the Art Club and the Dance Club.
A student from the class is randomly selected.
Let A denote the event "the student is in the Art Club."
Let B denote the event "the student is in the Dance Club."
The outcomes for the event A are listed in the circle on the left.
The outcomes for the event B are listed in the circle on the right.
Note that Melissa is outside the circles since she is not a member of either club.
Answer each part below. If necessary, consult a list of formulas.
Melissa
Laura
Kala
Jim
Ivanna
Eric
Pablo
Art
Deshaun
Yolanda
Rachel
Dance
Carmen
Salma
Debra
Omar
![(a) Find the probabilities of the events below.
Write each answer as a single fraction.
P(A) = ||
P (B) =
P(A and B) =
P(A | B) =
P(B) · P(A | B) = |
.
(b) Select the probability that is equal to P (A and B).
OP (B).P(A/B)
OP (A)
OP (A/B)
OP (B)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7be0f0e4-45ff-40bd-a6f7-339e48cd5dea%2Fdaf3433c-f15a-40c1-b130-66edb59f9b3a%2Fg26jxtb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Find the probabilities of the events below.
Write each answer as a single fraction.
P(A) = ||
P (B) =
P(A and B) =
P(A | B) =
P(B) · P(A | B) = |
.
(b) Select the probability that is equal to P (A and B).
OP (B).P(A/B)
OP (A)
OP (A/B)
OP (B)
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