Sikkim-Manipal University of Health Medical and Technological Sciences (SMUHMTS) 2008-1st Sem Post Graduate Diploma Bakery science and technology PGDBI REVISED - Question Paper

BI 0028 – 01
MATHEMATICS AND BIOSTATISTICS
Marks 60
Guidelines:
learn the ques. provided beneath and ans the identical.
ans the subsequent (10 marks each)
1. Evaluate
2. (a) If obtain .
(b) obtain the differential coefficient of with respect to x.
3. (a) Evaluate
(b) Evaluate
4. If show that
5. The probabilities of 2 students A and B solving a issue are and respectively. If both of them independently try, what is the probability that the issue is solved?

6. Solve the subsequent by graphical method
Minimize Z = 1000x1 + 800x2
Subject to 6x1 + 2x2 ? 12
x1 + x2 ? 4
x1 + 3x2 ? 6
x1 ? 0 , x2 ? 0

BI 0028 – 02
MATHEMATICS AND BIOSTATISTICS
Marks 60

Guidelines:
learn the ques. provided beneath and ans the identical.
ans the subsequent (10 marks each)
1. obtain the standard deviation of the profit of 100 companies
Profit in crores 8-10 10-12 12-14 14-16 16-18 18-20
No. of companies 16 24 40 60 40 20

2. If A and B are any 2 events then prove that
P(A?B) = P(A) + P(B) – P(A?B).

3. For the subsequent probability distribution, obtain E(X), Var(x), S.D.(X) and E(2x–4)
x –1 0 1 2
p(x)





4. The demand for nuts and bolts (in Kgs) is provided by the subsequent function

(a) obtain the value of A such that f(x) is a probability density function.
(b) obtain the probability that the demand for bolts and nuts
(i) lies ranging from 2.5 and 7.5 Kgs.
(ii) exceeds five Kgs.
(iii) is beneath five Kgs.
5. A machine produces components that have defect A with probability 0.015 and defect B with probability 0.020, the 2 defects being independent. If 54 components are packed into a batch, what is the (approximate) probability that the batch contains atleast 50 components without defects?

6. (a) obtain if
(b) obtain the differential coefficient of .


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Earning:   Approval pending.