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The Venn diagram below shows the 8 students in Mr. Parker's class. The diagram shows the memberships for the Volleyball Club and the Spanish Club. Volleyball Spanish Note that "Austin" is outside the circles since he is not a member of either club. One student from the class is randomly selected. Keith Let A denote the event "the student is in the Volleyball Club." Let B denote the event "the student is in the Spanish Club." Jose Keiko Mai Felipe Lisa Answer each part below. If necessary, consult a list of formulas. Lamar Austin (a) Find the probabilities of the events below. Write each answer as a single fraction. P(4) = 0 P(B) = ] P(4 and B) = ] P(4 or B) = | P(4) + P(B) – P(4 and B) = ] (b) Select the probability that is equal to P(A) +P(B) - P(A and B). O P (A) O P (A and B) O P(A or B) O P(B)

The Venn diagram below shows the 8 students in Mr. Parker's class. The diagram shows the memberships for the Volleyball Club and the Spanish Club. Volleyball Spanish Note that "Austin" is outside the circles since he is not a member of either club. One student from the class is randomly selected. Keith Let A denote the event "the student is in the Volleyball Club." Let B denote the event "the student is in the Spanish Club." Jose Keiko Mai Felipe Lisa Answer each part below. If necessary, consult a list of formulas. Lamar Austin (a) Find the probabilities of the events below. Write each answer as a single fraction. P(4) = 0 P(B) = ] P(4 and B) = ] P(4 or B) = | P(4) + P(B) – P(4 and B) = ] (b) Select the probability that is equal to P(A) +P(B) - P(A and B). O P (A) O P (A and B) O P(A or B) O P(B)

MATLAB: An Introduction with Applications
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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The Venn diagram below shows the 8 students in Mr. Parker’s class. The diagram shows the memberships for the Volleyball Club and the Spanish Club. Note that "Austin" is outside the circles since he is not a member of either club. One student from the class is randomly selected. Let \( A \) denote the event "the student is in the Volleyball Club." Let \( B \) denote the event "the student is in the Spanish Club." Answer each part below. If necessary, consult a list of formulas. **Venn Diagram Explanation:** - **Volleyball Club**: Circle on the left with members: Mai, Jose, Felipe - **Spanish Club**: Circle on the right with members: Jose, Felipe, Keith, Keiko, Lisa, Lamar - **Overlap (Both Clubs)**: Jose, Felipe - **Outside Both Circles**: Austin **Task (a):** Find the probabilities of the events below. Write each answer as a single fraction. - \( P(A) = \) \(\_\) - \( P(B) = \) \(\_\) - \( P(A \text{ and } B) = \) \(\_\) - \( P(A \text{ or } B) = \) \(\_\) - \( P(A) + P(B) - P(A \text{ and } B) = \) \(\_\) **Task (b):** Select the probability that is equal to \( P(A) + P(B) - P(A \text{ and } B) \). - \( \circ P(A) \) - \( \circ P(A \text{ and } B) \) - \( \circ P(A \text{ or } B) \) - \( \circ P(B) \)
Transcribed Image Text:The Venn diagram below shows the 8 students in Mr. Parker’s class. The diagram shows the memberships for the Volleyball Club and the Spanish Club. Note that "Austin" is outside the circles since he is not a member of either club. One student from the class is randomly selected. Let \( A \) denote the event "the student is in the Volleyball Club." Let \( B \) denote the event "the student is in the Spanish Club." Answer each part below. If necessary, consult a list of formulas. **Venn Diagram Explanation:** - **Volleyball Club**: Circle on the left with members: Mai, Jose, Felipe - **Spanish Club**: Circle on the right with members: Jose, Felipe, Keith, Keiko, Lisa, Lamar - **Overlap (Both Clubs)**: Jose, Felipe - **Outside Both Circles**: Austin **Task (a):** Find the probabilities of the events below. Write each answer as a single fraction. - \( P(A) = \) \(\_\) - \( P(B) = \) \(\_\) - \( P(A \text{ and } B) = \) \(\_\) - \( P(A \text{ or } B) = \) \(\_\) - \( P(A) + P(B) - P(A \text{ and } B) = \) \(\_\) **Task (b):** Select the probability that is equal to \( P(A) + P(B) - P(A \text{ and } B) \). - \( \circ P(A) \) - \( \circ P(A \text{ and } B) \) - \( \circ P(A \text{ or } B) \) - \( \circ P(B) \)
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