4.56 An urn contains two green balls and three red balls. Suppose two balls will be drawn at random one after another and without replacement (i.e., the firstball drawn is not returned to the urn before the second one is drawn).a. Find the probabilities of the events[Green ball appears in the first draw][Green ball appears in the second draw]AВb. Are the two events independent? Why or why not?c. Now suppose two balls will be drawn with replacement (i.e., the first ball drawn will be returned to the urn before the second draw). Repeat parts (a) and(b).I| ||

Answered: Image /qna-images/answer/90449912-6b7e-4687-9600-4a8fe2ec6538.jpg

Answered: 4.56 An urn contains two green balls…

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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21. A box contains five red, two white, and three green marbles. If a marble is selected at random, find these probabilities. b. That it is green. a. That it is red. d. That it is not green. c. That it is not red.
1. Of the students in the college, 60% of the students reside in the hostel and 40% of the students are day scholars. Previous year result reports that 30% of all students who stay in the hostel scored A Grade and 20% of day scholars scored A grade. At the end of the year, one student is chosen at random and found that he/she has an A grade. What is the probability that the student is a hostlier? 2. Two players A and B are competing at a trivia quiz game involving a series of questions. On any individual question, the probabilities that A and B give the correct answer areαandβrespectively, for all questions, with outcomes for different questions being independent. The game finishes when a player wins by answering a question correctly. Compute the probability that A wins ifa. A answers the first question, b. B answers the first question. 3. Patients are recruited onto the two arms (0 - Control,1-Treatment) of a clinical trial. The probability that an adverse outcome occurs on the…
If A and B are two disjoint.3 events, with P(A)=0.17 and P(B)30.30 then P(Ā U B) = 0.45 O 0.95 O 0.05 O 10
Q1: In a factory, there are three types of machines M1, M2 and M3 which produces 25%, 35% and 40% of the total bolts respectively. M1, M2 and M3 produces 5%, 4% and 2% defective bolts, respectively. A bolt is drawn at random and is found to be defective. What is the probability of that it is manufactured by: 1. machine 1? 2. machine 2? 3. machine 3?
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2 dice, one green and one black, are rolled once. Which of the following events are independent? 1. E= A 2 is rolled on the green die, F= A sum of 7 is rolled on both dice. 2. E= A 3 is rolled on the green die, F= A 5 is rolled on the black die. 3. E= A sum of 3 is rolled on both dice, F= A 4 is rolled on the black die. 4. E= A 2 is rolled on the green die, F= A sum of 8 is rolled on both dice.
Suppose that we have two events, A and B, with P(A) = .70, P(B) = .60, and P(A N B) = .40. a. Find P(A | B) (to 4 decimals). b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not? Select v because P(A | B) is Select P(A).
Q. 22 If A and B are independent events, how about the independence of their complements A and B?
7. A drawer contains 6 black socks, 4 brown socks, and 2 green socks. Suppose one sock is drawn from the drawer and that it is equally likely that any one of the socks is drawn. Find the probabilities for each of the following: a. The sock is brown b. The sock is either black or green c. The sock is red d. The sock is not black
Please answer part C
A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only oneof them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly).Suppose that the student was unable to find time to study for the exam and just guesses at eachquestion. Find the probabilities for the two events below.i. the student gets exactly 3 questions correct.ii. the student passes the exam
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