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Can i know if there is any suggestion of new electromagnetic waves application to be used in this pandemic era




12. To determine the weights of w1, w2 and w3 of three objects A1, A2 and A3, the following weighing




design was adopted. The objects were first weighed separately (A1 then A2 then A3) and then all




three (A1, A2 , A3) using ordinary two-parts balance. If the balancing weights in these four weighing




are denoted by x1, x2, x3 and x4 respectively with the expected values and variances given by




E(x1) = w1, E(x2) = w2, E(x3) = w3




E(x4) = w1 + w2 + w3




and




V ar(xi) = iσ2,




i = 1, 2, 3.




(a) By an appropriate method of estimating w1, w2, and w3, generate their normal equations and




present in a matrix form.




(b) Hence or otherwise, find the least square estimators of w1, w2, and w3 if V ar(xi) = iσ2,




i =




1, 2, 3.




(c) Given that x1 = 2.2, x2 = 1.7, x3 = 6.0, x4 = 9.5 and σ = 1.5, find the estimates for w1 and




w3.





8. Let (x1, x2, ..., xn) be independent measurements of a random variable X with density function


f(x) = e−(x−α), x > α. Find an estimator, ˆ


α, of α by method of moments.


STAT 333/Exx2



A 12-V battery, a 12-ohm resistor and a 4-ohm resistor are connected as

shown. The current in the 12-ohm resistor is ____ that in the 4-ohm resistor.


A battery with a terminal voltage of 12V is connected to a circuit consisting 

of four 10 Ω and one 5 Ω resistor all in series. Assume the battery has 

negligible internal resistance. Calculate the current through each resistor.


Solve the following LPPs using the simplex method




Max.Z=20x1 +10x2




Subject to:




5x1+4x2 < 250




2x1+5x2 < 150




x1, x2 > 0





An RC circuit have a 9 V source and lies at a 54-seconds of time constant.

Then, find the voltage across the Capacitor after 153.6 seconds of charging.


Write a program with total change amount in pennies as an integer input, and output the change using the fewest coins, one coin type per line. The coin types are Dollars, Quarters, Dimes, Nickels, and Pennies. Use singular and plural coin names as appropriate, like 1 Penny vs. 2 Pennies.


A1.30kg nano -satelite (a cube Salt )with a side length of 100.0mmis sitting on a workshop bench on the moon.

The acceleration due to gravity is 1.6 ms

calculate the pressure ?


In the simplest possible Keynesian macroeconomic model …

a. government is important in distributing social grants.

b. households consume products sold in the goods market.

c. the labour market plays an important role.

d. social grants help people have income to spend on consumption goods like taxi rides.

e. wages are flexible.


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