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Question 1

The lifetimes of light bulbs produced by a particular manufacturer have a mean of 1,200 hours and a standard deviation of 400 hours. The population distribution is normal. Suppose that you purchase nine bulbs, which can be regarded as a random sample from the manufacturer’s output

a. What is the mean of the sample mean life?

b. What is the variance of the sample mean?

c. What is the standard error of the sample mean?

d. What is the probability that, on average, those nine light bulbs have lives of fewer

than 1,050 hours?


An interest rate of 14,90% per year,

compounded every 3 months. What is equivalent interest rate compounded weekly?


2x+y-z=8


-3x-y+2z=-11


-2x+y+2z=-3


Let R1 and R2 be two relation on real number such that R1 = {(x, y)|x < y} and R2 =



{(x, y)|x > y}, then find R1 ∪ R2,R1 ∩ R2,R1 − R2, R2 − R1, and R1



LR2.

Write a java program that can be used by a policeman to determine if a vehicle has exceeded the speed limit and to levy a fine. The policeman should enter the vehicles speed and the speed limit. If the speed limit is exceeded by less than 30kph a fine of Kshs. 2500 should be charged. Otherwise a fine of Kshs 4000 is charged. Your program should then output (in a suitable format) the vehicle speed, the speed limit, the excess speed and the fine levied.



QUESTION 1




Information technology (IT) is a crucial part of any company as it can monitor and manage almost everything using the trends and information presented in data. It can also equip businesses with variety of tools that can solve challenging obstacles and help to plan the future growth of the company.





Human resources, as an example, is one of the crucial departments that uses information system to support specific functions and needs within other departments. Thus, using human resource management system as the context for the discussion, refer to the rubric criteria for the assignment requirements.





[30 marks]




QUESTION 2




Review and compare TWO examples of Human Resource Management System (HRMS), which cover the features or functions available in the systems. Support your discussion with the related diagram or screen shot of functions or features that provided in the system. Then provide summaries of the comparison of these two systems in a table form.

Different organisation reacts differently to complexities and uncertainties. Select any ONE organisation that you are familiar with. Describe recent changes made in the selected organisation. Identify with justification whether they are incremental changes or quantum changes. Give and explain two examples of internal sources of change and two examples of external sources of change in the selected organisation. Assume that you are one of the top managers of the organisation, what other changes that are needed for the organisation to survive.  


How do you describe the attitude of meeting attendees in relation to emotional intelligence and emotional competence


Discuss the leadership characteristics of Max in relation bto the branches of emotional intelligence


Discuss whether a cut in taxation will reduce inflation. 


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