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Find the mean variance and standard deviation of the following probability




Z 2. 6. 8. 10. 12



P(z). 0.35. 0.24. 0.20. 0.15. 0.06

(I) Distinguish the difference between the following concepts in relation to company accounting 

(a) Bonus issue and Rights issues 

(b) Loan stock or Bonds

(c) Preference shares and Ordinary shares

(d) Redeemable and Irredeemable

(e) Reserves and Provisions

(f) Unlimited and limited liability

(g) Share capital and Share premium 

(II) Briefly explain the advantages and disadvantages of Bonus and rights issue 


1.      Write a menu driven program to implement of list as a stack containing integers.


Chinovac Labs tried a new vaccine on 126 randomly selected individuals. From the experiment, it was determined that 118 of them developed immunity. Calculate a 95% confidence interval for the proportion p of individuals in the population for whom the vaccine would help. What is the point estimate of this interval?



The Malayo Colleges Mindanao recently conducted a study analyzing the privacy management habits of teen internet users. In a group of 118 teens, 108 reported having more than 100 followers on Twitter. Find the upper bound of a 90% confidence interval for the true proportion of teens who would report having more than 100 followers on Twitter. 



The Malayo Colleges Mindanao recently conducted a study analyzing the privacy management habits of teen internet users. In a group of 173 teens, 139 reported having more than 100 followers on Twitter. Find the margin of error of a 90% confidence interval for the true proportion of teens who would report having more than 100 followers on Twitter.



(a) Define the term corporation and briefly discuss the major characteristics of a corporation 

(b) Write few notes on the following headings

(i) Authorisedshares 

(ii) Called-up capital.

(iii) Issued capital

(iv) Paid-up capital.

(v) Par Value

(c) Explain the meaning of treasury stock 

(d) Outline the characteristics of preference shares 


3. Two shafts, having axes in the same plate intersecting at an angle of 45°, turn in opposite senses at 30 rpm and 90 rpm. Draw a pair of cone to be located on these shafts and turn in pure rolling contact. Diameter of base of smaller cone is 1 in. Calculate the cone angles.


20% of 30 is an example of

a. mathematical sentence

b. percent

c. mathematical expression


As an aspiring sociologist, you are tasked to identify 5 different sources of data on a social problem reported in popular news, print and /or electronic media with the aim to use these together with information from at least 2 journal articles enabling you to write a 5-page report for officials of Local Government. The officials aim to distribute the winning report at their next annual meeting. In your report, the following should be clearly included:


• Identify the actual social problem with an explanation of what it is and its prevalence in a specific community.


• Use the four elements of a social problem to motivate why you believe your chosen problem can be viewed as a social problem.


• Reflect on four implications this problem poses for community life.


• Propose a few suggestions on how the social problem can be managed and it's impact minimised.

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