
Concept explainers
Evaluate each expression.
a.
b.
c.
d.

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Chapter 6 Solutions
Mathematics All Around (6th Edition)
- If, based on a sample size of 900,a political candidate finds that 509people would vote for him in a two-person race, what is the 95%confidence interval for his expected proportion of the vote? Would he be confident of winning based on this poll? Question content area bottom Part 1 A 9595% confidence interval for his expected proportion of the vote is (Use ascending order. Round to four decimal places as needed.)arrow_forwardP(x, y) = {e-(x+y) x≥0, y ≥0 0 otherwise find x, y, x,y JX, 4 буarrow_forwardThe joint density function of two continuous random variables X and Y is: p(x, y) = {Kcos(x- Find (i) the constant K + y) 0 0arrow_forwardplease show all the workarrow_forwardA random variable X has a Gaussian distribution. The mean value of X is 2 and the variance is 4 volts. Compute the following probabilities: a) P(X3) c) P(X<-2) d) P(2arrow_forwardLet X and Y be random variables having joint density function 0≤x≤1,0≤ y ≤ 1 find X, Y, 0, 0, OXY otherwise p(x,y) = {x+yarrow_forwardFind the probability in tossing a fair coin three times, there will appear a) 3 H b)2 H 1T c) 2 T and 1 H d) 3 T.arrow_forwardLet the random variable X represents the number of automobiles that are used for different business purpose on any given workday. Xi p(xi) 1 0.3 Find: a) μx b)X2 c) o 2 2 3 0.4 0.3arrow_forwardplease show all the workarrow_forwardplease show all the workarrow_forwardQuestions 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.arrow_forwardplease show all the workarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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