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This particular Assignment references the syllabus chosen for the subject of Analytical Chemistry, for the January 2024 - December 2024 session. The code for the assignment is MCH-14 and it is often used by students who are enrolled in the MSCANCHEM Degree.
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1. State whether the following statement are TRUE or FALSE. Give reason in support of your answer.
a) Derivative of 1/x with respect to x is 1.
b) If A is a matrix of order 2 by 3 and B is a matrix of order 3 by 2, then
order of the matrix A + B is 2 by 3.
c) If 
they are perpendicular to each other.
d) If probability of an event E is 1/2 and probability of the event E ∩ F is 1/6, then probability of the event F is 1/3, where events E and F are independent.
e) If the first term of an AP is 5 and 101 term of the AP is 1005 then common difference of the AP will be 105.
2. Solve the following system of equations using Cramer’s rule.
x + 3y + 2z = 6, – x + 4y + 5z = 8, 2x + 5y + 3z = 10
3. a) Prove that 
is an orthogonal matrix.
4. a) Evaluate 
b) Evaluate
5. a) Solve the differential equation 
b) If 
c) In an iron determination (taking 1 g sample every time) the following four replicate results were obtained: 24.8, 25.2, 23.6 and 24.7 mg iron. Calculate the coefficient of variation and relative standard deviation in ppm of the given data.
6. a) In a factory there are three machines A, B, C which produce 10%, 40% and 50% items respectively. Past experience shows that percentage of defective items produced by machines A, B, C are 5%, 4%, 2% respectively. An item from the production of these machines is selected at random and it is found defective. What is the probability that it is produced by machine A?
b) Assume that in a population each person is equally likely to have a particular disease and disease status of each individual is independent of each other, then find the probability that out of the 5 randomly selected individuals who are tested for this particular disease exactly 3 have this disease.
c) A hospital specialising in heart surgery. In 2023 total of 1000 patients were admitted for treatment. The average payment made by a patient was Rs 1,00,000 with a standard deviation of Rs 20000. Under the assumption that payments follow a normal distribution, find the number of patients who paid between Rs 90,000 and Rs 1,10,000.
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