The Venn diagram below shows the 10 students in Mr. Miller's class.The diagram shows the memberships for the Science Club and theComputer Club.Note that "Manuel" is outside the circles since he is not a member ofeither club.One student from the class is randomly selected.Let A denote the event "the student is in the Science Club."Let B denote the event "the student is in the Computer Club."(a) Find the probabilities of the events below.Write each answer as a single fraction.P (A) = ||P(B) = ||P(4 and B) =P(A or B) =P(A) + P (B) − P (A and B) =-(b) Select the probability that is equal to P (A) + P (B)- P (A and B).OP (A or B)OP (A and B)OP (B)OP (4)ManuelScienceAmandaJimMiguelCharmaineComputerJinaGregElsaYokoJustin

Answered: Image /qna-images/answer/df502c42-26ad-4c72-b782-7f1049dcf232.jpg

Answered: (a) Find the probabilities of the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose an airline found that about 7% of the people making reservations on a flight from Miami to Denver do not show up for the flight. Suppose that the airline overbooks this flight by selling 226 ticket reservations for an airplane with only 219 seats. Let n = 226 represent the number of ticket reservations. Let r represent the number of people with reservations who show up for the flight. Which expression represents the probability that a seat will be available for everyone who shows up holding a reservation: Expression I : P(r ≥ 226) Expression II : P(r ≥ 219) Expression III : P(r ≤ 226) Expression IV : P(r ≤ 219) Expression V : P(r = 219) a. Expression II b. Expression III c. Expression I d. Expression V e. Expression IV
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(a) Find the probabilities of the events below. Write each answer as a single fraction. P (4) = || P (B) = | P(4 and B) = P(A or B) = P(A) + P (B) − P (A and B) = (b) Select the probability that is equal to P (A) + P (B)− P (A and B). OP(A or B) OP (A and B) OP (B) OP (A)