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- A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not allow a contractor to be offered more than one of these jobs. If this contractor is awarded any of these jobs, the profits earned from these contracts are: $12 million from the office building, $6 million from the theater, and $2 million from the parking garage. His profit is zero if he gets no contract. The contractor estimates that the probabilities of getting the office building contract, the theater contract, the parking garage contract, or nothing are 0.19,0.30,0.40, and 0.11, respectively. Let x be the random variable that represents the contractor's profits in millions of dollars. Write the probability distribution of x. Find the mean and standard deviation of x. Round your answers to three decimal places, if required. Mean = i Standard deviation = iIn 2000 two organizations conducted surveys to ascertainthe public’s opinion on banning gay men from serving inleadership roles in the Boy Scouts.■ A Pew poll asked respondents whether they agreedwith “the recent decision by the Supreme Court” that“the Boy Scouts of America have a constitutional rightto block gay men from becoming troop leaders.”■ A Los Angeles Times poll asked respondents whetherthey agreed with the following statement: “A BoyScout leader should be removed from his duties as atroop leader if he is found out to be gay, even if he isconsidered by the Scout organization to be a modelBoy Scout leader.” One of these polls found 36% agreement; the other found56% agreement. Which of the following statements is true?A) The Pew poll found 36% agreement, and the LosAngeles Times poll found 56% agreement.B) The Pew poll includes a leading question, while theLos Angeles Times poll uses neutral wording. C) The Los Angeles Times Poll includes a leading ques-tion, while the Pew poll…Create your own questions to test different claims for the following types of hypothesis tests. Each part should include the context of the problem and the researcher’s claim. Write the scenario and claim in complete sentences.a) One Proportion Z-Testb) Two Proportion Z-Testc) One Sample T-Testd) Two Independent-Samples T-Teste) Matched Pairs T-Test
- A manuscript that has been rejected by a journal: a. can be revised and resubmitted b. cannot be resubmitted to the same journal without an invitation from the editor c. can be requested to be re-reviewed by a different set of peers within the same journal d. can be reconsidered if an additional fee is paidA report in the college newsletter used the registrar's database for all the students in the school to look at majors and classes being taken this semester. The report includes the sentences:QUESTION 16 What is the major term in the following syllogism? "All first-degree murders involve malice aforethought, so no crimes of passion are first-degree murders because no crimes of passion involve malice aforethought." a. first degree murders Ob. malice aforethought O C. crimes d. crimes of passion QUESTION 17 What terms, if any, are distributed in the following categorical statement? All students are people who work hard. a. students only b. people who work hard only C. students and people who work hard d. none of the above
- 1. Wellstone Inc. produces and markets replacement covers for cell phones in a variety of colors. The company would like to allocate its production plans to five different colors: bright white, metallic black, magnetic lime, tangerine orange, and fusion red. The company set up a kiosk in the Qwanlin Mall for several hours and asked randomly selected shoppers which color they preferred for a cell phone cover. The results follow: Type of color Bright white Metallic black Magnetic lime Tangerine orange Fusion red a. What is this table called? b. Construct a bar chart for the table. c. Add relative frequencies to the table. d. Construct a pie chart for the data. Frequency 130 104 325 455 286n an unsolved airplane hijacking case from 1971, the hijacker (given the alias of D. B. Cooper) parachuted out of the back of a Northwest Boeing 727 over the southwest part of Washington State with $200,000 in $20 bills strapped to his body. The money and four parachutes had been provided by the FBI after Cooper took over the plane, claiming to have a bomb. Despite an intensive search by the FBI and 400 troops from Fort Lewis near the projected landing spot, Cooper was never found and his fate remains unknown. The combined weight of Cooper, the money, and his parachutes was approximately 230 lbs. He jumped from an altitude of 10,000 feet. Assume a linear drag term of −cv (where c is the drag coefficient and v is the velocity), and assume that he opened his parachute instantaneously 30 seconds after he stepped out of the plane and that his drag coefficient was c = 1.1 lbs-sec/ft before the chute opened and c = 12 lbs-sec/ft after. Estimate the speed (in ft/s) with which he hit the…Are You Sherlock? A murder was committed in Gotham city last night. The police found the perpetrator’s DNA on the crime scene and ran it against a database of 20,000 people. A match was found and it turns out to be your best friend. He/She is arrested and is due in court tomorrow. Given your progress in CS206, your friend has hired you as his/her lawyer. The prosecution’s argument is the following: “It is a well known statistical fact that the chance that two people’s DNA matches is 1 in 10,000. Hence the chance that the defendant is innocent is 1 in 10,000. Hence with overwhelming probability the person is guilty”. Use probability to come with a rigorous counter argument that can save your friend. [Note: You can take it that the statistical fact stated by the prosecution is indeed correct.]
- Concerned about graffiti, mayors of nine suburban communities instituted a citizen Community Watch program. Community Monthly Incidents After Monthly Incidents Before Burr Oak 4 4 Elgin Corners 1 2 Elm Grove 8 3 Greenburg 0 6 Huntley 7 2 North Lyman 7 1 South Lyman 4 7 Pin Oak 0 12 Victorville 7 5 Number of Graffiti Incidents Before and After Citizen Watch Program (n = 9) Suburb After Before Diff Burr Oak 4 4 0 Elgin Corners 1 2 -1 Elm Grove 8 3 5 Greenburg 0 6 -6 Huntley 7 2 5 North Lyman 7 1 6 South Lyman 4 7 -3 Pin Oak 0 12 -12 Victorville 7 5 2 (b) Find the test statistic tcalc. (A negative amount should be indicated by a minus sign. Round your answer to 2 decimal place.) (c) State the critical value tcrit for α = .05. (A negative amount should be indicated by a minus sign. Round…2. The Land Transportation Office (LTO) is an agency of the Philippine government under the Department of Transportation responsible for all land transportation in the Philippines. Functions of the LTO include the inspection and registration of motor vehicles, issuance of licenses and permits, enforcement of land transportation rules and regulations, and adjudication of traffic cases. LTO to Require Applicants of Driving School Before Being Given a License. Apart from the lectures in road safety and tests, all applicants will also be required to attend driving school. The driving school should be TESDA-certified and LTO-accredited for it to be legitimate and accepted. 40% percent of new drivers in Manila have had driver education. During their second year, new drivers without driver education have probability 0.03 of having an accident, but new drivers with driver education have only a 0.02 probability of an accident. What is the probability a new driver has had driver education, given…