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A. Consider a population consisting of values (1,3,5).

1. List all the possible samples of size 2 that can be drawn from the population

with replacement.

Observation Sample X (X − μX) (X − μX)2


2. Compute for the mean of the sampling distribution of the sample means.

3. Compute for the variance of the sampling distribution of the sample means.


X f Probability

P(X)

4. Construct the probability histogram of means with replacements when n = 2.


8. Elasticity problems:

a. The world demand for crude oil is estimated to

have a short-run price elasticity of 0.05. If the

initial price of oil were $100 per barrel, what

would be the effect on oil price and quantity of

an embargo that curbed world oil supply by 5 per-

cent? (For this problem, assume that the oil-supply

curve is completely inelastic.)

b. To show that elasticities are independent of units,

refer to Table 3-1. Calculate the elasticities between

each demand pair. Change the price units from

dollars to pennies; change the quantity units from

millions of boxes to tons, using the conversion fac-

tor of 10,000 boxes to 1 ton. Then recalculate the

elasticities in the fi rst two rows. Explain why you

get the same answer.



a)    What is the difference between a substantive definition of family and a functionalist definition of family? Which one would be most useful in understanding the first families at the research station? Explain your answer.


For an electric circuit with L=0.05 henry, R=20 ohms and C=100*10^-6 farad, the applied emf is 100 volts. Prove that the charge q at time 't' is given by q(t) =0.01-e^(-200t) [0.01 cos(400t) +0.02 sin(400t) ] if initially q=0 and i=0.

A certain charity designates donors who give $10,000.00 or more as

Benefactors; those who give $1,000.00 or more but less than $10,000.00 as

Patrons; those who give $200.00 or more but less than $1,000.00 as Supporters;

those who give $15.00 but less than $200.00 as Friends; and those who give

less than $15 as Cheapskates.

Write a program containing a nested if-else statement (or statements) that,

given a keyboard input with the amount of a contribution, outputs the correct

designation for that contributor.

Here’s an example that illustrates what your program should look like in

action:

~/ python donor.py

Enter the amount of a contribution: $5.20

Cheapskate!

Test your program also for the input values: 10000.00, 1000.00,

999.99, 12200.00,15.00, 499.99, 2200.00, 199.99, 75.33

An appropriate error message should be output (and your program should halt) when

an amount less than 0 is input.


Derive an expression for the logarithmic decrement of a damped oscillator.

A shell is fired at an angle of 20 degree to , an above, the horizontal from the top of a cliff 90 meter high , the velocity of the shell is 150 meter per second, calculate the distance from the foot of the cliff where it strikes the ground and 2) calculate the highest point above the ground reach by the shell


When explaining migration, scholars often try to understand the “push” factors (those factors which pushed migrants away from their homeland) and “pull factors” (those factors specific to their new destinations that pulled the migrants there). What were some of the important “push” and “pull” factors that explain the European settlement of the North American colonies? 


textbook: Give Me Liberty!: An American History


isbn: 9780393418248


There were different versions of “freedom” or “liberty” among the various groups you read about in Chapter 1. What are examples of these differing versions, and how did they shape early encounters between Europeans, Native Americans, and Africans?


textbook: Give Me Liberty!: An American History

isbn: 9780393418248



Consider a scenario where a “Class A” network is divided into 7 subnets of fixed length.


Design each subnet and find the IP Range and subnet mask of each subnet. (Choose any class-


A address). (5 marks)


Q3.2: A sender needs to send the two data items 010011 and 010110, find the checksum at


sender and receiver to check if there is any error or not? (5 marks)

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