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The guide from Digital Actuarial Resources (DAR) provides a sample set of problems covering discrete and continuous distributions, Venn diagrams, multivariate distributions, and moment-generating functions. Most questions are math-based and may involve calculus or advanced algebra. No time limit is stated, and using notes and textbooks is allowed. 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The book has 250 practice questions to test your knowledge of the principles of probability and statistics. The problems encompass applications of chance in discrete distributions, continuous distributions, Venn diagrams, multivariate distributions, and moment-generating functions. The set of questions is very comprehensive and attempts to cover all major topics featured on the actual test. Nearly all of these questions are math-based. Some of the examples require calculus, while others entail advanced algebra.  \nYou should expect to spend several days taking this test. There is no time limit. You can use your notes, textbooks, other actuaries, and whatever will help you answer the questions. These problems test your introductory actuary skills and also attempt to teach you something. If you can correctly answer 75% of the questions (about 188 problems), you are prepared for the actual test.  \nThe first half of this guide contains the practice test questions. You should use your own scratch paper when taking the test so that you can retake it several times. The detailed solutions start on page 44. If you find any errors in the solutions or would like to debate an answer, please contact the Digital Actuaries.  \n© Copyright 2007  \n[www.digitalactuarialresources.com](www.digitalactuarialresources.com)  \n(18.) A computer chip has a 9% chance of a manufacturing defect. Drur tests a set of 20 chips. What is the probability that at most 2 of the chips are defective?  \n(29.) Dredge is a terrible driver but is taking a test for his license. Dredge will keep taking the test until he passes. The probability that Dredge passes any given test is 35%. Use this information for the next few questions.  \nWhat is the probability that Dredge passes the test on the third attempt?  \n(39.) A football kicker is making practice field goal attempts. The probability of making a field goal is 85%. The kicker will continue making field goal attempts until he makes 3 goals.  \nWhat is the probability that the player makes the third goal on the fourth kick?  \n(43.) A carpenter with a nail gun must put 12 nails through a board. The probability that the carpenter correctly drives in a nail with a given shot is 90%. What is the probability that the carpenter completes the job with exactly 15 nails?  \n(67.) Suppose the continuous distribution of an event is uniform with an expected value of $700,000 and a standard deviation of $100,000. Find the endpoints of the distribution.  \n(94.) A farmer uses 2 types of fertilizer and 2 levels of irrigation – light or heavy. The probability of light irrigation given that the farmer used fertilizer number 1 is 70%. The probability of heavy irrigation given that the farmer used fertilizer number 2 is 45%. The probability of using fertilizer number 1 is 62%, and the probability of using fertilizer number 2 is 38%. Given that the farmer used heavy irrigation, what is the probability he used fertilizer number 2?  \n(112.) Suppose X equals the number of service calls under a warranty during a given year. The company sold 4,000 warranties, and the probability of a service call is 0.03. Find the probability that the company receives at least  \n135 calls this year.  \n(116.) Consider 2 classes of 45-year-olds under a health insurance plan. The nonsmoker class has 750 insureds with annual clams following a uniform distribution between $200 and $2,600. The smoker class has 125 insureds with annual claims following a uniform distribution between $500 and $4,500. What is the probability that the difference between the average smoker claims and the average nonsmoker claims is under $1,000?  \n(173.) Consider the discrete bivariate distributi","cbCaitTiO2FFxBuH","https://ap.wps.com/l/cbCaitTiO2FFxBuH","pdf",242062,"English","# Practice Test Questions\n## Introduction\n## Sample Questions\n## Solutions","[{\"question\":\"What topics are covered in the Exam P/1 probability sample practice questions?\",\"answer\":\"The sample covers discrete and continuous distributions, Venn diagrams, multivariate distributions, and moment-generating functions, with most problems focused on probability and statistics principles.\"},{\"question\":\"How are the practice problems meant to be taken during study?\",\"answer\":\"The guide suggests spending several days, with no time limit, and allowing the use of notes, textbooks, other actuaries, and other helpful resources. Scratch paper should be used so the test can be retaken.\"},{\"question\":\"Where can detailed solutions be found in this guide?\",\"answer\":\"Detailed solutions start on page 44, following the first half of the questions.\"}]","Exam P/1: Probability Society of Actuaries - Sample Only - Practice Test Questions | PDF",1790489650,25]