Sikkim-Manipal University of Health Medical and Technological Sciences (SMUHMTS) 2009 M.Sc Bio Informatics BI0028-MATHEMATICS AND BIOSTATISTICS -Assignments for fall session - Question Paper

BI 0028 – 01
MATHEMATICS AND BIOSTATISTICS
(Book ID: B0660)
Marks 60
Guidelines:
learn the ques. provided beneath and ans the identical. 10 marks every
1. Evaluate (a) (b)
2. If obtain .

3. Integrate the following:
(a) (b)

4. Solve the system of equations using Cramer’s rule
3x + y + 2z = 3
2x – 3y – z = –3
x + 2y + z = 4

5. There are 12 points in a plane of which four are collinear. obtain the number of (a) straight lines (b) triangles which can be formed from these points.

6. Solve by simplex method
Consider the L.P.P.
Minimize Z = 4x1 + x2
subject to 3x1 + x2 = 3
4x1 + 3x2 ? 6
x1 + 2x2? 3
x1, x2 ? 0
BI 0028 – 02
MATHEMATICS AND BIOSTATISTICS
(Book ID: B0660)
Marks 60
Guidelines:
learn the ques. provided beneath and ans the identical. 10 marks every
1. The subsequent data was found while observing the life span of a few neon lights of a company, compute S.D.
Life span (years) : four – six six – eight eight – 10 10 – 12 12 – 14
No of neon lights: 10 17 32 21 20

2. A lot contains 10 items of which three are defective. 3 items are chosen at random from the lot 1 after a different. obtain the probability that all the 3 are defective if the draws are :
i) with replacement
ii) without replacement

3. The probability distribution of a finite random variable X is provided by the subsequent table
xi –2 -1 0 1 2 3
P(xi) 0.1 k 0.2 2k 0.3 k

(i) obtain the value of k and compute the mean and variance
(ii) obtain P[X<1], P[–1 < X ? 2], P[X > –1].

4. six coins are tossed. obtain the probability of getting (i) exactly three heads
(ii) atmost three heads (iii) atleast three heads.

5. calculate the approximate probability that mean of a random variable of a sample size 15 from a distribution having with pdf f(x) = 3x2 , 0 ? x ? one (use Central Limit theorem).

6. describe Binomial distribution and high light its important properties.


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Earning:   Approval pending.