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In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of eight candidates for
three local teaching positions consisted of five who had enrolled in paid internships and three who
enrolled in traditional student teaching programs. All eight candidates appear to be equally qualified, so three are randomly selected to fill the open positions. Let Y be the number of internship
trained candidates who are hired.
(a) Does Y have a binomial or hypergeometric distribution? Why?
(b) Find the probability that two or more internship trained candidates are hired
(c) What are the mean and standard deviation of Y ?.
Prove that x(1 + x) > (1 + x) In(1 + x) > x
A corporation is sampling without replacement for n = 3 firms to determine the one from which to
purchase certain supplies. The sample is to be selected from a pool of six firms, of which four are
local and two are not local. Let Y denote the number of nonlocal firms among the three selected.
(a) P(Y = 1).
(b) P(Y ≥ 1).
(c) P(Y ≤ 1).
In an assembly-line production of industrial robots, gearbox assemblies can be installed in one
minute each if holes have been properly drilled in the boxes and in ten minutes if the holes must be redrilled. Twenty gearboxes are in stock, 2 with improperly drilled holes. Five gearboxes must be selected from the 20 that are available for installation in the next five robots.
(a) Find the probability that all 5 gearboxes will fit properly.
(b) Find the mean, variance, and standard deviation of the time it takes to install these 5 gearboxe
Topic: Ethics and Intellectual Property
Task: carefully study any two articles of your choice related to your discipline (not from the Research Methodology Case Studies for Engineering and the Built Environment). Remember to cite them properly. Each article must consist of at least 2,000 words excluding abstract and list of references.
Analyse these two articles and for EACH of the two, list under separate headings (1) ethical issues and (2) IP issues as they relate to your discipline. Think holistically. If there are no ethical or IP issues, which is very unlikely, explain why. If there are, identify them and discuss their impact in terms of data collection and analysis, first specifically on the articles, then on your discipline as a whole, and finally on your dissertation work.
The recent global development of Russia invading Ukraine has led to USA and European countries imposing sanctions on Russia. Given that Russia is a major player in OPEC, discuss the implication of this in South African economy.
5) You have been appointed the chief IT manager of Housing Finance Corporation. At the moment, the operations are manual and the management would like you to automate them.
Assume the following details:
Ø Employees Names
Ø Box Number
Ø Town
Ø Personnel Number
Ø Department
Ø Basic Salary
Ø Consolidated Allowances
Required:
i) Write a JAVA class declaration for the above. (6 mks)
ii) Write appropriate function definitions. (5 mks)
iii) Write the appropriate driver program (main function
1) A fibonacci series is defined as follows:-
Fb[0] = 0
Fb[1] = 1
Fb[i] = Fb[i – 1] + fb[i – 2] for i >= 2
Write a program that generates the first n (the user decides how many) fibonacci terms and prints them. The program should also print their sum. (Use array(s))
1) Write a program that accepts the amount of money deposited in a bank account, the annual interest rate and the target amount (The amount of money the account holder wants to have in the account after a period of time) and then calculates the number of years it will take for the money to accumulate to the targeted amount. NB: 1) The interest being earned is Compound Interest. 2) Don’t use the formula for calculating compound interest.
For example if the money deposited is 10000 and the target amount is 20000 and the account earns an interest rate (compound) of 10% pa, then the output should be: -
It will take 8 years for your money to reach your target.
By the end of this period, the amount in your account will be 21435.89
1) Write a program that accepts a set of integers (the user decides how many) and then stores them in an array. The main function then passes these values one by one to a method called get_even which returns 1 if the integer is even and 0 if it is odd. The main function should then specify which numbers were even, which ones were odd and their respective totals. It should also specify how many numbers were odd and how many were even. For example, if the user enters 25 34 56 17 14 20, the output should be: -
25 is an odd number
34 is an even number
56 is an even number
17 is an odd number
14 is an even number
20 is an even number
There is a total of 2 odd numbers and their sum is 42.
There is a total of 4 even numbers and their sum is 124.
NB: All data input and output should be done in main. Don’t use % any where in the main function (% can be used in the method).
