S, 25-12. The following table gives the payoffs of three acts A1, A, and A3 and the states ofnature S, Aand S3 along with the probability distribution for various combinations (S; A);i, j= 1 , 2, 3.ActsProbabilitiesStates of NatureA2A3A,A2A310- 10600.650-600-35S22020200-200-250-45S330400 200.150-150-20Calculate and tabulate the EMV for each act and using the EMV criterion, obtain the best act.

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Answered: S 25-12. The following table gives the…

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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The Two-Way table below represents 2 bags of M&Ms. One bag id the peanut M&Ms and the other is the Milk Chocolate (without peanuts) M&Ms. Ms. Bradley pours both bags into a glass jar. Use the following Two-Way Table to answer the following prompts: Orange Red Yellow Green Blue Brown Milk Chocolate 13 15 18 19 16 14 Peanuts 9 11 8 7 12 10 What is the Probability of selecting a Orange Milk Chocolate and a blue Milk Chocolate M&M? After each selection the M&Ms are not placed back into the jar.
Q.2.1 A bag contains 9 green and 11 blue marbles. You are asked to select two marbles from the bag. The first marble selected will not be placed back into the bag. Q.2.1.1 Construct a probability tree to indicate the various possible outcomes and their probabilities (as fractions). (7) Q.2.1.2 What is the probability that the two selected marbles will be the same colour? (3) Q.2.2 The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of cellphone: PREFERRED BRAND OF CELLPHONE Apple Samsung Vivo TOTAL No. of Females 100 110 40 250 No. of Males 65 115 20 200 TOTAL 165 225 60 450 Q.2.2.1 What is the probability of randomly selecting a respondent from the sample who prefers Vivo? (2) Q.2.2.2 What is the probability of randomly selecting a respondent from the sample who is not female? (4) Q.2.2.3 What is the probability of randomly selecting a respondent who is…
1 Rank the probabilities of 10%, 5, and 0.06 from the most likely to occur to the least likely to occur. O a Ob O c Od 1 0.06, 5, 10% 1 5, 10%, 0.06 1 10%, 5, 0.06 0.06, 10%, 5
A buyer and a seller are bargaining over the sale of an object. The buyer knows that the seller values the object $0 with a probability of 0.25 and he values it $4 with a probability of 0.75. The seller knows that the buyer values the object either $1 or $5, each with a probability of 1/2. The table below shows what happens in each contingency Seller's value is $0 Seller's value is $4 Buyer's value is $1 Trade price is $1 NO TRADE Buyer's value is $5 Trade price is $p Trade price is $4 Find the interval for p such that The buyer with a valuation of $5 is not better-off reporting $1 The seller with a valuation of $0 is not better-off reporting $4. In blank 1 enter the lower value. In blank 2 enter the upper value.
Q. 2 A car dealer notes the following probabilities about his customers: P(those who buy a new car) = 0.25 P(those who buy a European car) = 0.30 P(those who neither buy a new car nor an European car) = 0.54 Find the probability that next customer buys a new European car?
2. If a month is picked at random, which of the following represent the probability its name will begin with the letter J? (1) 0.08 (3) 0.12 (2) 0.25 (4) 0.33
Chapter 4 (probability) 13. The table shows the responses from 103 people when asked if they support a proposal to expand the public library. Under the Age 55 or Age of 55 Total Older Yes 17 25 No 42 36 78 Total 59 44 103 One person from those who responded will be selected at random. Which of the following is closest to the probability that the person selected will be someone who responded no, given that the person selected is age 55 or older? (A) 0.350 (C) 0.462 (D) 0.757 (E) 0.818 (B) 0.427 14. You toss a coin 300 times. On average, how many tails do you expect? (C) 150 15. According to the law of large numbers, when observing random trials. (A)0 (B) 100 (D) 200 (E) 300 (A)the fewer trials, the more predictable the long-run average (expected value). (B) the more trials, the more predictable the long-run average (expected value). (C) the fewer trials, the more predictable each outcome becomes. (D)the more trials, the more predictable cach outcome becomes. (E) the result of the…
Q. 2 A car dealer notes the following probabilities about his customers: P(those who buy a new car ) = 0.25 P(those who buy a European car) = 0.30 P(those who neither buy a new car nor an European car ) = 0.58 Find the probability that next customer buys a new European car?
1. Use this table for the following questions: Female Male TotalShort Hair 20 40 60 Long Hair 30 10 40 Total 50 50 100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…
ol Year. Q3-Q4 LA. Five hundred students are interviewed about their ways to get to school. The results are summarized in the table. cements Car Other Total sng Middle 124 167 School 5. High School 136 185 12 333 35 Total 223 00S Drive Select all the statements that must be true about a student chosen at random from those interviewed. ry Education Graphing O The probability that the selected student used the bus to get to school under the condition that the student is in middle school is Scientific 000 O The probability that the selected middle school or high school student used a car to get to on 223 school is 000 O The probability that the selected student used a car to get to school or is a middle school student is Tracker 009 O The probability that the selected student used a car or bus to get to school under the condition that the student is in high school is M The probability that the selected student is in middle school under the condition that the SEudent takes the bus to…
5. A commuter must pass through 4 different traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below.X P(X) 0 0.05 1 0.25 2 0.35 3 0.20 4 0.15a. What is the probability she is stopped one time on her way to work?b. What is the probability she is stopped at least two times on her way to work
There are 13 questions in this set. As you go through these questions, use relevant information from previous questions. A manufactured good has two inputs, X is the price of input #1. Y is the price of input #2. These prices are in dollars. Below is the bivariate probability distribution of the prices of these inputs. The covariance between X and Y is 0.4. You will need the covariance later in this set so remember to come back to this value and use it! What is the probability that the price of input #1 will be its smallest value (10)? One decimal Version 1 10 11 12 0.1 0.1 Y 0.1 0.2 0.2 0.1 0.1 0.1 1234

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