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An investigation of 23713 households was made in an urban and rural mixed locality. Of these 1618 were farmers, 2015 well to do and 770 families were having at least one graduate. Of these graduate families 335 were those of farmers and 428 were well to do; also 587 well to do families were those of farmers and out of them only 156 were having at least one graduate. Obtain all the ultimate class frequencies.


If a finite population has four elements: 6, 1, 3, 2.

(a) How many different samples of size n = 2 can be selected from this population if you sample without replacement?

(b) List all possible samples of size n = 2.

(c) Compute the sample mean for each of the samples given in part b.

(d) Find the sampling distribution of x.

(e) Compute standard error.

(f) If all four population values are equally likely, calculate the value of the population mean μ . Do any of the samples listed in part (b) produce a value of x exactly equal to μ ?


Let A = {a, 1, c, 3} and B = {-1, 0, 1}





(a) find the Cardinality of A




(b) P(A)




(c) A x B

Which has the higher annual yield, 6% compounded quarterly or 6.25% compounded semiannually?

A retired couple have a fixed income of P3500 per month. Assuming an annual inflation rate of 7%,





what is the purchasing power of their monthly income in 5 years?

A gun barrel mass 560 kg is designed with the following data: Initial recoil velocity 36 m/sec;


Recoil distance on firing 1.5 m, calculate: (a) spring constant, (b) damping coefficient, and (c) time


required for the barrel to return to a position 0.12 m from its initial position.

def calculate_vat(amount):

amount * 1.2

total = calculate_vat(100)

print(total)


When your boss runs the program they get the following output:

None 


Your boss expects the program to output the value 120 . What is wrong? How do you fix it?



What are the causes of deforestation in Ghana

In the course of this module you reflected on the ethos of the Constitution of the Republic of South Africa and uBuntu. In what ways can criminal justice system functionaries incorporate the principles of Ubuntu in their daily work? 


What is the total forest area in Ghana

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