Three people are suspected of robbery of a hardware store: Alex, Ben, and Saleh. Preliminaryinvestigation by the police has led to the following conclusions:(i)If Saleh is involved in the crime, then Ben is also involved.(ii)If Alex is guilty, then Ben is also guilty.The first conclusion of the preliminary investigation turned out to be true, and the second turnedout to be false. Who committed the robbery?

Answered: Image /qna-images/answer/795364f4-fcdd-4407-b380-7ea9c23ca6de.jpg

Answered: Three people are suspected of robbery…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In craps which of the following scenarios is least likely? (Remember, for each roll you're rolling two dice, so rolling a 7" means any combination of dice that adds to 7.) A. Roll an 8 on the first roll, and an 8 on the second roll to win the game. B. Roll a 4 on the first roll, and a 7 on the second roll to lose the game. C. Roll a 7 on the first roll to win the game. D. Roll a 6 on the first roll, and a 6 on the second roll to win the game. O E. Roll a 2, 3, or 12 on the first roll to lose the game.
1. Given P(A) = 0.2 and P(B) = 0.8, do the following. (For each answer, enter a number.) (a) If A and B are independent events, compute P(A and B). (b) If P(A | B) = 0.7, compute P(A and B). 2. Compute P5,4. (Enter an exact number.) 3. Compute C5,3. (Enter an exact number.)
If event (A) is receiving a bachelor’s degree and event (B) is receiving a PhD then events A and B are necessarily: a. None of the above b. Mutually exclusive c. Independent d. Exhaustive
A. 40%B. 60%C. 20%D. 80%
1. Events A and B are mutually exclusive with P(A) = 0.280 and P(A or B) = 0.740 a) P(B)= b) P(Not A)= c) P(A and B)=
A survey in two sites of a firm included the following question: “How effective is management in responding to legitimate grievances of workers?” The results are shown here: Number Surveyed Number Responding “Poor” Site 1 192 48 Site 2 248 80 Let A be the event a worker comes from Site 1. Let B be the event the response is “poor.” a. Compute P(A). b. Compute P(B). c. Compute P(A ∩ B). d. Compute P(A ᴜ B). e. Are the events A and B independent? Support your answer with statistical proof.
Given P(B) = 0.46, P(AandB) = 0.21 , P(AorB) = 0.51 , what is P(A) ?
1. The theoretical driving test currently consists of 50 questions, each with 4 options, of which only one answer is correct. To pass, at least 41 questions must be answered correctly. Johnny goes to the exam unprepared and guesses the answer to every question. a. What is the probability of Johnny giving exactly 11 correct answers? b. What is the probability of Johnny giving at most 7 correct answers? c. What is the probability of Johnny giving less than 10 correct answers? d. What is the probability that Johnny passes on the exam? e. Calculate the probability that Johnny answers at least 5 and at most 15 questions correctly. f. Determine the expectation and the standard deviation of the number of questions that are correctly answered by Johnny. 2
Consider an experiment involving two successive rolls of a fair die. Consider the following events. A: event that the first roll results in a 1.B: event that the second roll results in a 6.C: event that the sum of two rolls is a 7.D: event that the maximum of two rolls is 2.E: event that the minimum of two rolls is 5. Answer the following questions giving proper justification. (a) Are events A and B independent?(b) Are events A and C independent?(c) Are events B and C independent?(d) Are events A, B, and C independent?(e) Are events D and E independent?
I want p(I and c) P(not I and not c) P(I or not c) P(c or not i) P(not I or not c)

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