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II – Answer each of the following questions. Use extra sheets if necessary.
1. Consider the population consisting of the values (4, 6, 8).
a. List down all the possible samples of size 2 with replacement.
b. Compute the mean of each sample.
c. Compute the mean of the sampling distribution of means.
d. Identify the probability of each sample.
e. Compute the population mean.
f. Compare the population mean with the mean of the sampling distribution of means.
Suppose you have a 70-cm solenoid having a cross-sectional area of 9 cm². This is wound with 900 turns of wire and carries a current of 3.4 A. Suppose that its core has a relative permeability of 400. What is the flux in the solenoid?
Consider a circular coil of radius 6 cm that has 70 loops. Its orientation forms magnetic field lines that are perpendicular to the area of the coil. Suppose the magnetic field changed from 0.20 T to 0.65 T in 5 milliseconds, how much average EMF is induced in the coil?
Consider a solenoid that is 50 cm long and has a cross-sectional area of 5 cm2. It is wound with 400 turns of wire, and a current of 2.3 A is supplied to it. Assume that its core has a relative permeability of 400. How much flux is in the solenoid?
Initially, a mixture of 0.200 M NO, 0.100 M H_{2} , 0.200 M H_{2}*O was permitted to reach equilibrium (initially there was no*N_{2} ). At equilibrium, the concentration of NO was discovered to be 0.062 M. Determine the value of the equilibrium constant, Ke, for the reaction:
2NO(g) + 2H_{2}(g) N_{2}(g) + 2H_{2}*O(g)
The reaction of bromine gas with chlorine gas has a Kc value of 7.20 at 200°C. If a closed 2.50 L vessel were charged with the two reactants, with the former weighing 9.65 g while the latter is 5.70 g, what would be the equilibrium concentration of the two reactants and BrCl(g)? Determine whether the forward or the reverse reaction will be favored. Explain your answer.
Which substance in each pair has the higher entropy, JUSTIFY YOUR ANSWER
A. 2 mol of He(g) at 100 K and 1 atm or 2 mol of He(g) at 150 °C and 0.2 atm
B. a mixture of 4 mol of H2 (g) and 1.5 mol of N2(g) at 25 °C and 1 atm or, sample of 3 mol of NH3 (g) at 25°C and 1 atm
Write a program to print the area of a rectangle by creating a class named 'Area' having two functions. First function named as 'setDim' takes the length and breadth of the rectangle as parameters and the second function named as 'getArea' returns the area of the rectangle. Length and breadth of the rectangle are entered through keyboard.( For C sharp with easy code)
Write a program to print the area of two rectangles having sides (4,5) and (5,8) respectively by creating a class named 'Rectangle' with a function named 'Area' which returns the area. Length and breadth are passed as parameters to its constructor.( For C sharp with easy code)
Write a program to print the area and perimeter of a triangle having sides of 3, 4 and 5 units by creating a class named 'Triangle' with the constructor having the three sides as its parameters.( For C sharp with easy code)
