Question 1Suppose we have an experiment that consists of flipping a coin 5 times.i. Find the total number for the outcomes for this experiment? ii. List all the elements in the sample space?iii. Find the probability that tails will be occurring at least 2 times on three coin flips?iv. Find the probability of getting all Head and all Tail on five coin flips?Question 2A bag has 10 blue balls and 5 red balls. 2 balls are to be drawn successively and without replacement. What is the probability that the first ball is red and the second is blue?Question 3Two coins are loaded so that each comes up heads 80% of the time when tossed. If the coins are both tossed simultaneously, i. What probability will the result be both are Tail?ii. What probability will the result give Head and Tail? Question 6Ali is a Software Engineering student taking Discrete Structure this semester. The tablesbelow show the percentage of his result from Quiz, Assignment, Test 1 and Final Exam andhis time on each activity.QuizAssignmentTest 1Final Exam% Mark for the activity% Time spend on study8.15324020406070Let A denote the event "the mark for the Quiz".Let B denote the event "the mark for the Assignment".Let C denote the event "the mark for the Test 1".Let C denote the event "the mark for the Final Exam".Let H denote the event "time Ali spent"Find the probability of events A, B, C and DFind the probability, P(H|A), P(H|B), P(H|C) and P(H|D)Find the probability, P(A|H), P(B|H), P(C[H) and P(D|H)Find the probability, P(H)i.ii.iii.iv. Acompanyreceived 1000 applications for the undergraduate program every semester. Of allapplicants, 150 had a CGPA score above 3.70. 520 applicants had a CGPA score between3.50 and 3.70. 100 applicants had a score between 3.00 and 3.50. All other applicants had ascore lower than 3.00.i.What probability will a randomly selected applicant have a score lower than 3.00?If this semester, the total of students who get the CGPA score lower than 3.00 is20% of the total student received, and the number of the other students who getCGPA above 3.50 is the same. Find the number of students who get CGPAbetween 3.00 and 3.50?ii.Question 5A boy has 10 red and 10 blue marbles. He only needed to take out 15.i.What is the probability of choosing 10 marbles that is blue and 5 marbles are red?The boy bought new marble, and now he has 100 marbles in total. He has 30 red,50 green, and 20 blue from the marbles. What is the probability that a randomlychosen marble is new OR green?If the boy wants to choose 10 marbles. The probability he will get the marble arenew is 0.8, and the probability for the boy to get red and new is 0.24. What is theprobability that the marble is red?ii.iii.

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Suppose we have an experiment that consists of flipping a coin 5 times. i. Find the total number for the outcomes for this experiment? ii. List all the elements in the sample space? iii. Find the probability that tails will be occurring at least 2 times on three coin flips? iv. Find the probability of getting all Head and all Tail on five coin flips?

Suppose we have an experiment that consists of flipping a coin 5 times. i. Find the total number for the outcomes for this experiment? ii. List all the elements in the sample space? iii. Find the probability that tails will be occurring at least 2 times on three coin flips? iv. Find the probability of getting all Head and all Tail on five coin flips?

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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