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- Determine the cumulative distribution function for the uniform distribution.What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?5.a) Find the number of men getting wages between Rs. 5 and Rs. 35 from the following table: Wages (in Rs.): 0-10 10 – 20 20 – 30 30 – 40 No. of men: 9. 30 35 42
- uje Sp8. A company launched a sales campaign and appointed 110 salesmen for this purpose. At the end of ine period the sales results were analysed and the following information was obtained. Sales ('000 Rs.) Number of Salesmen Sales ('000 Rs.) Number of Salesmen 50-55 4 75-80 18 55-60 60-65 80-85 12 10 85-90 65-70 20 90 and above 70-75 22 00 N O5Suppose that the length of research papers is uniformly distributed from 10 to 23 pages. We survey a class in which 55 research papers were turned in to a professor. We are interested in the average length of the research papers. O Part (a) + Part (b) O Part (c) O Part (d) Ox=|4.33 x (rounded to four decimal places) O Part (e) O Part (f) O Part (g) O Part (h) Part (i) O Part (j) Calculate the probability that the professor will need to read a total of more than 970 pages. (Round your answer to four decimal places.) Part (k) O Part (I) Find the probability that an individual paper is longer than 17 pages. (Round your answer to four decimal places.) Find the probability that the average length of 55 papers is more than 17 pages. (Round your answer to four decimal places.) O Part (m) Find the 65th percentile for the length of individual papers for samples of 55 papers. (Round your answer to two decimal places.) Find the 65th percentile for the average length of papers for samples of 55…The following table shows a frequency distribution of the weekly wages in rand of employees in the XYZ Company: Number of Wages (R) employees 50 - 59,99 8. 60 - 69,99 70- 79,99 16 14 80 - 89,99 10 90 - 99,99 100 -109,99 110 119,99 1 cumulative frequency distributions; 2 percentage cumulative distributions; and 3 on the same sheet of graph paper, 'less than' and 'more than' cumulative curves. From the cumulative curves, estimate the number of employees earning: 4 less than R88,00 per week; (1) 5 R96,00 or more per week; and (1) 6 at least R63,00 but less than R75,00 per week.
- The following is a histogram showing the distribution per year of the cumulative property damage caused by tornadoes, over the period 1950 to 1999, in each of the 50 states and Puerto Rico. The data are in millions of dollars, and the class intervals are 0 to < 10, 10 to < 20, and so forth. Average Tomado Damage for the 50 States and Puerto Rico (1950-1999) 25 20 15 10- 5- 10 20 30 40 50 60 70 80 Average property dama ge S millions) For this data, which would be higher--the mean or the median? Explain why. FrequencyDelta Airlines quotes a flight time of 2 hours, 3 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 12 minutes.For unemployed persons in the United States, the average number of months ofunemployment at the end of December 2009 was approximately seven months(Bureau of Labor Statistics, January 2010). Suppose the following data are for aparticular region in upstate New York. The values in the first column show thenumber of months unemployed and the values in the second column show thecorresponding number of unemployed persons.MonthsUnemployedNumberUnemployed1 10292 16863 22694 26755 34876 46527 41458 35879 2325 10 1120Let x be a random variable indicating the number of months a person is unemployed.a. Use the data to develop an empirical discrete probability distribution for x.b. Show that your probability distribution satisfies the conditions for a validdiscrete probability distribution.c. What is the probability that a person is unemployed for two months or less?Unemployed for more than two months?d. What is the probability that a person is unemployed for more than sixmonths?
- Determine if there is significant difference among the costs of daily allowance received by the group of 5 students from 4 different year levels. Use 1 % level of significance Student Year level Freshman Sophomore Junior Senior 1 90 20 75 55 40 85 25 50 60 50 2345 3 5 70 100 35 95 45 65 60 30 80 753. A Human Resource manager in an e-hailing delivery company would like to know whether the median income of riders during the Movement Control Order period is more than RM3500 per month. Based on the data of 10 newly recruited riders, help the manager to decide whether his claim is true or not at a = 0.05. Table 1 Rider Monthly Income (RM) 1 2300 2 1800 3 3600 4 3700 4000 6 5500 7 4400 3500 2900 10 3700The following data is given for Soweto Hospital with regards to the number of patients admitted in the first half of the year ended 30 June 2023 and the total costs incurred by the hospital to treat these patients in this period:MonthNumber of patients admittedTotal costs incurred by the hospital (Rands)January20050 000February20050 000March25055 000April25055 000May30060 000June15045 000Required:Calculate the variable cost per unit and total fixed costs by using the Least Squares (Simple Regression Analysis) method.
