Suppose an economist is interested in studying the relation between a worker's marital status and their averagehourly wage. The economist asks each individual to report their hourly wage, measured in dollars per hour, andtheir marital status, for which there are two categories: married (M) and unmarried (U). The economist takes asample of 12 people, providing the following data:Individual1 2 3 4 5 6 7 8 9 10 11 12Marital Status MMMMMMMUUUUUHourly Wage (S/hr) 11 15 23 35 32 17 14 21 22 36 23 11From this, the economist divides hourly wages into three categories: Low (LW; $10-$19), Middle (MW; $20-$29) and High (HW; $30-$39), and constructs the following cross tabulation of the above data:Categories of Hourly WagesMarital Status LW ($10-$19) MW ($20-$29) HW ($30-$39) TotalMarried (M) 412Unmarried (U) 131512TotalFinally, the economist constructs the following joint probability table based on the above cross tabulation.Categories of Hourly WagesMarital Status LW ($10-$19) MW ($20-$29) HW ($30-$39)|Married (M) 4/12=1/31/122/12 = 1/61/12Unmarried (U) 1/125/123/12 1/43/12 1/44/12 1/3Based on this information please answer the following questions1. Compute PM)2. Describe in words, the event MULW1 Compute PM ULM)4 Compute PM nLW)5 Compute P(MILW)6. Describe in words the event LW7/125/1217. ComputePLW& Compute PHWIU)9. Are the events HW and independent? Provide a 1-2 sentence explanation no credit will be awarded without a correct explanation

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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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Based on this information, please answer the following questions 1. Compute P(M) 2. Describe in words, the event MULW 1 Compute PMULWY