3.62 An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X be the number of months between successive payments. The cumulative distribution function of X is
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- An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments.An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive paymentConsider the number of days to maturity of 10 short-term investments below: 85 77 88 78 65 78 57 81 36 90 (i) Make a stem-and-leaf plot for the days-to-maturity data. (2) (ii) Hence, or otherwise, compute the interquartile range of the data. (3) (iii) Are there any outliers in the data.
- Suppose that a consumer cannot vary hours of work as he or she chooses. In particular, he or she must choose between working q hours and not working at all, where q > 0. Suppose that dividend income is zero, and that the consumer pays a tax T if he or she works, and receives a benefit b when not working, interpreted as an unemployment insurance payment. a. If the wage rate increases, how does this affect the consumer’s hours of work? What does this have to say about what we would observe about the behavior of actual consumers when wages change? Explained also with the graph b. Suppose that the unemployment insurance benefit increases. How will this affect hours of work? Explain the implications of this for unemployment insurance programs. Explained also with the graphAcoording to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by tesearchers, 4,000 reaches (the expected number in a rouch-infested house) were released in the tost kibchen. One week later, the kitchen was fumigated and 14,465 dead roaches were counted, a gain of 10,465 roaches for the 1 -week period. Assume that none of the original roaches died during the 1 -week period and that the standard deviation ofx, the number of roaches produced per roach in a 1 -weok period, is 1.3 . Use the number of roaches produced by the sample of 4,000 rosches to find a pos confidence interval for the mean number of roaches produced per wook for each rosch in a typical toach-infosted house. Find a99%confidence interval for the mean number of roaches prodused per week for each roach in a typical roach infested housen (Round to three decimal places as needed)Find out the next month after april income by using the forecasting method of the moving average method
- William Profit is studying companies going public for the first time. He isparticularly interested in the relationship between the size of the offering and theprice per share. A sample of 15 companies that recently went public revealed the following information: y x 10.8 9 11.3 94.4 11.2 27.3 11.1 179.2 11.1 71.9 11.2 97.9 11 93.5 10.7 70 11.3 160.7 10.6 96.5 10.5 83 10.3 23.5 10.7 58.7 11 93.8 10.8 34.4Mine Police Post recorded over a one year period the number of drug abuse offences among the youth in that compound indicating their frequence of occurence as provided for in the data given below.Number of drug abuse cases: 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80–90 90 -100Frequency of occurence: 3 5 6 7 8 9 10 12 6 4Requireda) Construct a less than and more than cumulative frequency table and plot the resultant ogives.b) Comment on the answer in a) aboveN owns a Disability Income policy that will cover him to age 65, allhough the insurance company has the right to change the premium rate for the overall risk class to which N is assigned Which of he following types of renewability best describes this situation? A. Noncancellable B. Cancellable C. Guaranteed Renewable D. Optionally Renewable
- item 2020 unit price (P0) 2020quantity (q0) 2021 UNIT PRICE (P1) 2021 quantiy (q1) mineral spirits R23,70 30 R27.70 45 100mm spanner R49.00 60 R65.00 50 25mm brush R58.00 30 R63.00 40 Using 2020 as the base year, compute the price relatives in 2021 for the 10mm spanner and the 25mm brush AND compute the Paasche price index for all of the items for 2021.Respond to each of the items using the following time series data. Period Demand 1 104 2 132 3 117 4 120 5 104 6 141 7 120 8 136 9 109 10 143 11 142 12 109 13 113 14 124 15 113 16 107The savings (in percentage of salary) of 50 randomly selected persons are given as follows: City A 9 5 11 8 5 6 2 13 11 10 3 4 4 6 11 5 6 17 9 10 16 3 16 13 7 10 2 7 1 3 12 14 8 3 8 7 2 10 17 12 9 13 5 4 3 28 11 2 3 5 City B 18 13 21 16 12 14 7 23 20 19 9 10 10 14 21 12 14 29 19 20 27 9 27 23 14 19 7 15 5 9 22 25 16 8 17 15 7 19 28 23 17 23 13 10 9 42 21 6 8 12 Analyse the data to study the pattern of savings of salaried persons in two cities. Use appropriate graphs and measures to draw conclusions. Also draw box-whisker plot to compare the two distribution