We have dataЕconomyfrom 100 economists in academics,private sector, and government,concerning their opinions whether theeconomy would be stable, expand orcontract in the near future. However, apart of the information was lost. Basedon remaining data, you are required tocreate a probability table.From the given table find :(i) P(A) ; (ii) P(E) ; (iii) P(A O E) ; (iv) P(Gn C) ; (v) P (E | G)Tota!Expanding Contracting(E)EconomistsStable(S)(C)Academics (A)2520Private Sector (R)722Government (G)51340(vi) P (G | E).

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Answered: We have data Есonomy from 100…

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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Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 70% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA exam until the first pass. (Assume the trials are independent.) (a) What is the probability that Cathy passes the CPA on the first try? (Use 2 decimal places.) (b) What is the probability that Cathy passes the CPA exam on the second or third try? (Use 4 decimal places.)
In a group of 80% female and 20% male; 3/4 of women and 1/2 of men do sports. What is the probability that someone selected from the group is a woman or a sports person?
Answer the Following Question On average cleo catches a fish on 40% of the times that he casts his fishing line. If he casts his line 12 times in the first half hour, what is the probability that he will catch exactly 9 fish?
A police officer randomly selected 586 police records of larceny thefts. The accompanying data represent the number of offenses for various types of larceny thefts. (a) Construct a probability model for type of larceny theft. (b) Are coin-operated machine larcenies unusual? (c) Are larcenies from buildings unusual? (a) Complete the table below. Type of Larceny Theft Pocket picking Purse snatching Shoplifting From motor vehicles Motor vehicle accessories Probability Bicycles From buildings From coin-operated machines (Round to three decimal places as needed.) (b) Choose the correct answer below. Data table Type of Larceny Theft Pocket picking Purse snatching Shoplifting From motor vehicles Motor vehicle accessories Bicycles From buildings From coin-operated machines Print OA. Yes, because P(coin-operated machine) 0.05. OC. Yes, because P(larcenies from buildings) <0.5. O D. No, because the probability of an unusual event is 0. Number of Offenses 7 8 126 202 82 50 102 9 Done - X
In a statistics class, students are given a homework assignment which can be described as the followings: (a) develop an experiment; (b) design a question; and (c) determine a probability distribution based upon the experiment you developed. One student develops an experiment: he puts 20 balls in a black box (i.e., it is not possible to see inside). These 20 balls include 15 white balls and 5 red balls. He closes his eyes and randomly selects 3 balls without replacement from this box. He designs a question: what is the probability that he exactly picks 2 red balls? He finally claims that this experiment is the binomial experiment, which means that the random variable is the binomial probability distribution. His reason is: you either pick white ball or red ball, so there are only two outcomes. It is impossible that you can have the third outcome. Therefore, it is a binomial experiment. Do you agree with the student’s claim? Does it make any sense? Why or why not? Discuss and explain…
answer the following probability question
Virtually any process can be improved by use of statistics, including the law. A much publicized case that involved a debate about probability was the Collins case, which began in 1964. An incident of purse snatching in the Los Angeles area led to the arrest of Michael and Janet Collins. At their trial, an "expert" presented the probabilities listed in table below on characteristics possessed by a couple seen running from the crime scene: Characteristics Probability Man with beard 1/10 Blond woman 1/4 1/10 Yellow car Woman with ponytail Man with moustache Interracial couple 1/10 1/3 1/1000 The chance that a couple had all these characteristics together is 1 in 12 million. Because the Collinses had these characteristics, the Collinses must be guilty. Do yo see any problem with this line of reasoning? Hint: The question of interest is not "what is the probability of finding a couple with these characteristics?" because one such couple has been found (the Collinses), the question is "what…
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Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue their MBA as a full-time or part-time student. A summary of their responses follows. Undergraduate Major Intended Enrollment Status Full-Time Part-Time Intended Enrollment Status Full-Time Part-Time Totals 514 a. Develop a joint probability table for these data (to 4 decimals). Totals Business 344 170 Engineering 200 Business 169 I 369 Undergraduate Major Engineering Other Other Totals 238 782 196 434 535 1,317 Totals b. Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the most potential MBA students. Select your answer - + c. If a student intends to attend classes full-time in pursuit of an MBA degree, what is the probability that the student was an undergraduate engineering major (to 4 decimals)? d. If a student was an undergraduate business major, what is the probability…
Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 75% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA exam until the first pass. (Assume the trials are independent.) (a) What is the probability that Cathy passes the CPA on the first try? (Use 2 decimal places.)(b) What is the probability that Cathy passes the CPA exam on the second or third try? (Use 4 decimal places.)
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.

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