(i)Annual claim frequency for an individual policyholder has mean 1 and variance o?.(ii)The prior distribution for 1 is uniform on the interval [0.5, 1.5].(ii)The prior distribution for o? is exponential with mean 1.25.A policyholder is selected at random and observed to have no claims in Year 1.Using Bühlmann credibility, estimate the number of claims in Year 2 for the selectedpolicyholder.(A)0.56(B)0.65(C)0.71(D)0.83(E)0.94

Answered: Image /qna-images/answer/8c6e2a62-8fc4-45f4-ab15-f44034a952ac.jpg

Answered: (i) Annual claim frequency for an…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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. Suppose that at a large university, 40% of the males and 50% of the females voted in the last U.S. presidential election. José plans to take a random sample of 100 of the males and compute the sample proportion who voted. Independently, Anya plans to take a random sample of 150 of the females and compute the sample proportion who voted. What is the standard deviation of the distribution of all possible differences in the sample proportions José and Anya could obtain? 45 (A) √250 0.45(0.55) 250 402 502 100 150 0.40(0.60) 0.50(0.50) + 100 150 0.40(0.60) 0.50(0.50) (E) 100 150
Interpret statistically the results of variables (1) and (2)
1. Find the Mean & Variance of Binomial distribution, Poisson’s distribution by using m.g.f.
Yolanda Gonzales owns and manages a small business in San Francisco, California. The business provides breakfast and brunch food, via carts parked along sidewalks, to people in the business district of the city. Being an experienced businessperson, Yolanda provides incentives for the four salespeople operating the food carts. This year, she plans to offer monetary bonuses to her salespeople based on their individual mean daily sales. Below is a chart giving a summary of the information that Yolanda has to work with. (In the chart, a "sample" is a collection of daily sales figures, in dollars, from this past year for a particular salesperson.) Sample Sample Sample size Groups mean variance Salesperson 1 116 204.2 2252.4 Salesperson 2 86 221.6 2572.6 Salesperson 3 63 198.7 2231.6 Salesperson 4 95 210.4 2346.7 Send data to calculator Send data to Excel
The price to earnings ratio (P/E) is an important tool in financial work. A random sample of 14 large U.S. banks (J. P. Morgan, Bank of America, and others) gave the following P/E ratios†. 24 16 22 14 12 13 17 22 15 19 23 13 11 18 The sample mean is x≈ 17.1. Generally speaking, a low P/E ratio indicates a "value" or bargain stock. Suppose a recent copy of a magazine indicated that the P/E ratio of a certain stock index is μ = 19. Let x be a random variable representing the P/E ratio of all large U.S. bank stocks. We assume that x has a normal distribution and σ = 4.1. Do these data indicate that the P/E ratio of all U.S. bank stocks is less than 19? Use ? = 0.01. What is the level of significance? What is the value of the sample test statistic? (Round your answer to two decimal places.) Find (or estimate) the P-value. (Round your answer to four decimal places.)
2. A manufacturer of car batteries claims that the life of the company's batteries is approximately normally distributed with a standard deviation equal to 0.9 year. If random sample of 12 of these batteries has a standard deviation of 1.3 years, do you think that o < 0.9 year? Use a 0.05 level of significance.
Cuo (a) The Takoradi Tire and Rubber Company wishes to set a minimum mileage guarantee on its new MX100 tyre. Tests reveal the mean mileage is 67,900 with a standard deviation of 2,050 miles and that the distribution of miles follows the normal distribution. They want to set the minimum guaranteed mileage so that no more than 4 percent of the tyres will have to be replaced. What minimum guaranteed mileage should the company announce? levement
1. For each claim below, write: (1) claim in mathematical form; (2) Null hypothesis (Ho); (3) alternative hypothesis (Hp); (4) what tailed test. Use notations MuMz (for mean), PuP2 (for proportion), 01,02 (for standard deviation), Mo (for differences in means for dependenr (i.e., matched pair) samples) (a) Claim: California HS students on an average score lower in the SAT than Massachusetts HS students (1 = California, 2 = Massachuselts) (b) Claim: The proportion of smokers in Texas is the same as that in Oklahoma (1 = Texas, 2 = Oklahoma) (c) Claim: The standard deviation of weights in 8 oz Coke cans is at least as high as that in Pepsi cans (1 - Coke, 2 - Pepsi) (d) Claim: Ethiopian track athletes are, on an average, faster long-distance runners than the USA track athletes (1 - Ethiopia, 2 - USA) (e) Claim: The cholesterol level before taking Lipitor is, on an average, higher than that after taking the drug (I - Before drug, 2 - Aller drug)
Calculate the geometric mean return of the following returns Date Return 11/01/2018 5.96% 11/14/2018 6.05% 12/01/2018 0.29% 12/14/2018 1.18% NOTE: Enter the PERCENTAGE number rounding to two decimals. If your decimal answer is 0.034576, your answer must be 3.46. DO NOT USE the % sign Calculate the variance for the returns below Date Return 11/01/2018 0.6% 11/14/2018 6.7% 12/01/2018 -4.31% 12/14/2018 2.55% NOTE: Enter the DECIMAL number rounding to four decimals. If your decimal answer is 0.034576, your answer must be 0.0346. DO NOT USE the % sign
5. A brochure inviting subscriptions for a new diet program states that the participants are expected to lose over 22 pounds in five weeks. Suppose that, from the data of the five-week weight losses of 56 participants, the sample mean and sample standard deviation are found to be 23.5 and 10.2, respectively. Could the statement in the brochure be substantiated on the basis of these findings? Test at the α = .05 level.
14. The sales price of a specific brand of cereal is believed to be normally distributed. Data were collected for a sample of 16 boxes of that brand of cereal. If the sample mean is 2 OMR and the sample standard deviation is 0.4 OMRthen the 90% confidence interval for the population mean is A. (1.8355 , 2.1645) B. (1.8040 , 2.1960) C. None D. (1.8247 , 2.1753)

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