
Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 4.6, Problem 1BSC
To determine
What does the symbol ‘!’ represent.
To obtain: The actual number of ways four people can stand in a line.
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Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 203.8 ft and standard deviation 43.8 ft.
You intend to measure a random sample of n = 211trees. The bell curve below represents the distribution of these sample means. The scale on the horizontal axis (each tick mark) is one standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places.
Image attached. I filled in the yellow boxes and am not sure why they are wrong. There are 3 yellow boxes filled in with values 206.82; 209.84; 212.86.
Could you please answer this question using excel.Thanks
Questions
An insurance company's cumulative incurred claims for the last 5 accident years are given
in the following table:
Development Year
Accident Year 0
2018
1 2 3 4
245 267 274 289 292
2019
255 276 288 294
2020
265 283 292
2021
263 278
2022
271
It can be assumed that claims are fully run off after 4 years. The premiums received for
each year are:
Accident Year Premium
2018
306
2019
312
2020
318
2021
326
2022
330
You do not need to make any allowance for inflation.
1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method.
(b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method.
2. Comment on the differences in the reserves produced by the methods in Part 1.
Chapter 4 Solutions
Elementary Statistics
Ch. 4.2 - Florida Lottery Let A denote the event of placing...Ch. 4.2 - Probability Given that the following statement is...Ch. 4.2 - Interpreting Weather While this exercise was being...Ch. 4.2 - Subjective Probability Estimate the probability...Ch. 4.2 - Prob. 5BSCCh. 4.2 - Prob. 6BSCCh. 4.2 - Prob. 7BSCCh. 4.2 - Prob. 8BSCCh. 4.2 - In Exercises 912, assume that 400 births are...Ch. 4.2 - In Exercises 912, assume that 400 births are...
Ch. 4.2 - In Exercises 912, assume that 400 births are...Ch. 4.2 - In Exercises 912, assume that 400 births are...Ch. 4.2 - Traffic Light When arriving at the traffic light...Ch. 4.2 - Weather While this exercise was being created,...Ch. 4.2 - In Exercises 1320, express the indicated degree of...Ch. 4.2 - Pierced Ears Based on a Harris poll, there is a...Ch. 4.2 - SAT Test When making a random guess for an answer...Ch. 4.2 - Dice When rolling a pair of dice at the Bellagio...Ch. 4.2 - Statistics Test It is impossible to pass a...Ch. 4.2 - In Exercises 1320, express the indicated degree of...Ch. 4.2 - Pre-Employment Drug Screening Find the probability...Ch. 4.2 - Pre-Employment Drug Screening Hind the probability...Ch. 4.2 - Table 4-1 Pre-Employment Drug Screening Results...Ch. 4.2 - Table 4-1 Pre-Employment Drug Screening Results...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - Struck by Lightning In a recent year, 304 of the...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Probability from a Sample Space. In Exercises...Ch. 4.2 - Probability from a Sample Space. In Exercises...Ch. 4.2 - Two Children Exercise 37 lists the sample spice...Ch. 4.2 - Probability from a Sample Space. In Exercises...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - Prob. 43BBCh. 4.2 - Finding Odds in Roulette A roulette wheel has 38...Ch. 4.2 - Prob. 45BBCh. 4.2 - Prob. 46BBCh. 4.2 - Relative Risk and Odds Ratio In a clinical trial...Ch. 4.3 - Complements What is wrong with the expression?...Ch. 4.3 - Casino Craps A gambler plans to play the casino...Ch. 4.3 - Disjoint Events For a Gallup poll, M is the event...Ch. 4.3 - Rule of Complements One form of the rule of...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Whatever A Marist poll survey showed that 47% of...Ch. 4.3 - Online Courses According to the National...Ch. 4.3 - Flirting Survey In a Microsoft Instant Messaging...Ch. 4.3 - Finding Complements. In Exercises 58, find the...Ch. 4.3 - Drug Screening If one of the test subjects is...Ch. 4.3 - Drug Screening If one of the test subjects is...Ch. 4.3 - Drug Screening If one of the subjects it randomly...Ch. 4.3 - Drug Screening If one of the subjects is randomly...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Prob. 31BSCCh. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - Gender Selection When analyzing results from a...Ch. 4.3 - Disjoint Events If events A and B are disjoint and...Ch. 4.3 - Exclusive Or The formal addition rule expressed...Ch. 4.3 - Extending the Addition Rule Extend the formal...Ch. 4.3 - Complements and the Addition Rule a. Develop a...Ch. 4.4 - Notation Let R be the event of randomly selecting...Ch. 4.4 - Independent and Dependent Events Are events R and...Ch. 4.4 - Independent and Dependent Events True or false:...Ch. 4.4 - Sample for a Poll There are currently 28,741,346...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Pro-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Pre-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Pre-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Pre-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Acceptance Sampling With one method of a procedure...Ch. 4.4 - Acceptance Sampling With one method of a procedure...Ch. 4.4 - Redundancy In Computer Hard Drives It is generally...Ch. 4.4 - Redundancy In Aircraft Radios The FAA requires...Ch. 4.4 - Born on the 4th of July For the following, ignore...Ch. 4.4 - Hiring Employees Assume that Google, Inc. hires...Ch. 4.4 - In Exercises 2326, use these results from the...Ch. 4.4 - In Exercises 2326, use these results from the...Ch. 4.4 - In Exercises 2326, use these results from the...Ch. 4.4 - Prob. 26BSCCh. 4.4 - In Exercises 2730, find the probabilities and...Ch. 4.4 - In Exercises 2730, find the probabilities and...Ch. 4.4 - Prob. 29BSCCh. 4.4 - In Exercises 2730, find the probabilities and...Ch. 4.4 - System Reliability Refer to the figure at the top...Ch. 4.4 - Prob. 32BBCh. 4.5 - Prob. 1BSCCh. 4.5 - Prob. 2BSCCh. 4.5 - Prob. 3BSCCh. 4.5 - Confusion of the Inverse Using the same events A...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - At Least One Correct Answer If you make random...Ch. 4.5 - At Least One Working Calculator A statistics...Ch. 4.5 - Probability of a Girl Assuming that boys and girls...Ch. 4.5 - At Least One Correct Answer If you make random...Ch. 4.5 - Births in the United States hi the United States,...Ch. 4.5 - Births in China In China, the probability of a...Ch. 4.5 - Car Crashes The probability of a randomly selected...Ch. 4.5 - Cleared Burglaries According 10 FBI data, 12.4% of...Ch. 4.5 - At Least One. In Exercises 5-12, find the...Ch. 4.5 - Compliments at Work Based on a poll conducted...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - Identical and Fraternal Twins. In Exercises 25-28,...Ch. 4.5 - Identical and Fraternal Twins. In Exercises 25-28,...Ch. 4.5 - Prob. 27BSCCh. 4.5 - Prob. 28BSCCh. 4.5 - Redundancy in Computer Hard Drives Assume that...Ch. 4.5 - Prob. 30BSCCh. 4.5 - Composite Drug Screening Based on the data in...Ch. 4.5 - Composite Water Samples The Fairfield County...Ch. 4.5 - Prob. 33BBCh. 4.5 - Prob. 34BBCh. 4.6 - Prob. 1BSCCh. 4.6 - Prob. 2BSCCh. 4.6 - California Daily 4 The winning numbers for the...Ch. 4.6 - Selections with Replacement When randomly...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - Prob. 9BSCCh. 4.6 - Prob. 10BSCCh. 4.6 - Prob. 11BSCCh. 4.6 - Prob. 12BSCCh. 4.6 - Prob. 13BSCCh. 4.6 - Prob. 14BSCCh. 4.6 - Prob. 15BSCCh. 4.6 - Florida Lottery Winning the jackpot in the Florida...Ch. 4.6 - Prob. 17BSCCh. 4.6 - Prob. 18BSCCh. 4.6 - Prob. 19BSCCh. 4.6 - Prob. 20BSCCh. 4.6 - Prob. 21BSCCh. 4.6 - Prob. 22BSCCh. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - Prob. 24BSCCh. 4.6 - Jumble Puzzle Many newspapers carry Jumble, a...Ch. 4.6 - Jumble Puzzle Many newspapers carry Jumble, a...Ch. 4.6 - Prob. 27BSCCh. 4.6 - Electricity When testing for current in a cable...Ch. 4.6 - Prob. 30BSCCh. 4.6 - Prob. 31BSCCh. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - Prob. 33BSCCh. 4.6 - Prob. 34BSCCh. 4.6 - Prob. 35BSCCh. 4.6 - Prob. 36BSCCh. 4.6 - Prob. 37BBCh. 4.6 - Prob. 38BBCh. 4.6 - Prob. 39BBCh. 4.6 - Prob. 40BBCh. 4 - A multiple-choice question on a statistics quiz...Ch. 4 - As the author is creating this exercise, a weather...Ch. 4 - Prob. 3CQQCh. 4 - Prob. 4CQQCh. 4 - Estimate the probability that a randomly selected...Ch. 4 - Prob. 6CQQCh. 4 - In Exercises 6-10, use site following results from...Ch. 4 - Prob. 8CQQCh. 4 - In Exercises 6-10, use site following results from...Ch. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Trifecta In horse racing, a trifecta is a bet that...Ch. 4 - Prob. 1CRECh. 4 - Unusual/Unlikely Events a. The mean pulse rate for...Ch. 4 - Prob. 3CRECh. 4 - Prob. 4CRECh. 4 - Sampling Eye Color Based on a study by Dr. P....Ch. 4 - Prob. 6CRECh. 4 - Prob. 7CRECh. 4 - Prob. 1FDDCh. 4 - Prob. 2FDDCh. 4 - Prob. 3FDDCh. 4 - Prob. 4FDDCh. 4 - Prob. 5FDDCh. 4 - Prob. 6FDDCh. 4 - Prob. 7FDDCh. 4 - Critical Thinking: Interpreting medical test...Ch. 4 - Prob. 9FDD
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