9. A lottery has a winner every day. The winning number is chosen randomly each day, and the probability of winning on any one day is 0.03. Alice plans to buy a lottery ticket every day for 500 days, and Bob plans to buy a ticket every day for 5,000 days. Which of the following is the best assessment of how the law of large numbers applies to this situation? (A) Alice will probably have a higher propor- tion of wins than Bob. (B) Bob will probably have a higher propor- tion of wins than Alice. (C) The difference between Alice's propor-

9. A lottery has a winner every day. The winning number is chosen randomly each day, and the probability of winning on any one day is 0.03. Alice plans to buy a lottery ticket every day for 500 days, and Bob plans to buy a ticket every day for 5,000 days. Which of the following is the best assessment of how the law of large numbers applies to this situation? (A) Alice will probably have a higher propor- tion of wins than Bob. (B) Bob will probably have a higher propor- tion of wins than Alice. (C) The difference between Alice's propor-

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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Question 11
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1. Suppose you are a technician, whose repair time on a given job is said to follow an exponential distribution with expected time θ = 3 hours. You have 5 independent jobs lined up (you complete them sequentially, one by one). a. What is the probability of taking exactly 2 hours to finish a given job? b. What is the probability it will take more than 2 hours on a given job? c. You are on a given job and you already have been working for 1 hour. What is the probability it will at least an additional 2 hours to complete this job?
Ex. A lottery ticket with two equally likely outcomes:(1) You win $2 (2) You win $0Let W be the amount won from the lottery. E[W] = 1VAR(W) =???
refer to the above question 1. if a student is selected at random then the probability that he/she has passed only one test (either math or state, bot not both) is
QUESTION 5 A company's report shows that. 18% receive a salary increment. 7% of its workers had been receives the staff's award for the Year 2022 3.5% had received the staff's award and received a salary increment. a) Find the probability that a worker has received the staff's award, given that he/she has never received salary increment. b) Find the probability a worker receives salary increment or has received the staff's award. c) Find the probability a worker has never received the salary increment. d) Find the probability a worker has never received both.
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Q. No. 5:Discuss the components of time series. b)There are five flights daily from Pittsburgh via US Airways into the Bradford Regional Airport in Bradford, Pennsylvania. Suppose the probability that any flight arrives late is 0.20. What is the probability that none of the flights are late today? What is the probability that exactly one of the flights is late today?
Example 7.40: You set out on a walk with three possible locations, denoted locations 1, 2 and 3. The probabilities of travelling from a specified location to the next are given by Solution. If you know that you started in location 3, what is the probability that you end up at location 1 after two time periods? Using the above equation, we get To solve this we use the equation Xn+1 = AXn. Given that you began in location 3, the initial state vector is and subsequently Exercise X₁ = AX0 Probability = A = = X₂ = AX₁ 0.5 0.2 0.4 0.4 0.6 0.1 0.1 0.2 0.5 = Xo 0 0.5 0.2 0.4 0.4 0.6 0.1 0.2 0.5 0.1 ][ Therefore the probability of ending up in location 1 after two time periods is 0.42. 0.5 0.2 0.4 0.4 0.6 0.1 0.1 0.2 0.5 1 0.4 0.1 = 0.5 0.4 0.1 0.5 = 0.42 0.27 0.31 Refer to the example above. If you know that you started in location 2, what is the probability that you will end up at location 1 after one time period?
Example 2.1 260 bolts are examined as they are produced. Five of them are found to be defective. On the basis of this information, estimate the probability that a bolt will be defective.
Question 2 2.1 Solve the below problem: Caltex, a South African oil company will drill a succession of holes in a given area to find a productive well. The probability that they are successful on a given trial is 0.4. 2.1.1 What is the probability that the third hole drilled is the first hole to yield a productive well?