Bharati Vidyapeeth 2007 B.E Biotechnology maths - Question Paper
Friday, 18 January 2013 08:20Web
Page 3 of 4
PART-A
1. (a) discuss the Histogram and frequency polygon and provide the advantages of every.
(b) obtain the mean median and mode for the subsequent data
x 15 20 25 30 35 40 40 50 55
y two 22 19 14 three four six one 1
(c) In a study on patients, the standard values are recorded in the subsequent table .Find the
M.D. and Q.D.
(6+7+7)
2. (a) Goals scored by 2 teams A and B in a football season is as follows
Number of goals
0 one two three 4
Team A 27 nine eight five 4
Team B 17 nine six five 3
obtain out which team is better and which team is more consistent.
(b) describe Correlation and establish the formula
2 two 2
2
x y x y
x y
r
s s s
s s
- + -
=
(c) Fit a curve of the form x y ab = to the data
x two three four five 6
y 144 173 207 248 299
(8+6+6)
3. (a) discuss the genetic application of probability and provide examples.
(b) In a class 70% are boys and 30% are girls, 5% of boys, 3% of girls are irregular
to the classes. What is the probability of a learner opted at random is irregular
to the classes and what is the probability that the irregular is a girl?
(c) A random variable has the subsequent probability function
x -2 -1 0 one two 3
f(x) 0.1 k 0.2 2k 0.3 k
obtain k and compute mean and variance.
(7+6+7)
Age in
years 10-20 20-30 30-40 40-50 50-60
60-70
70- 80
No.of
patients one 0 one 10 17
38
9
4. (a) Derive the mean and Standard deviation of Binomial distribution.
(b) If x is normally distributed with mean 12 and standard deviation four obtain
() ( 20) ( ) ( 20) i Px ii P x ³ £ .
(c) The length of telephone conversation has been obtained to have an exponential
distribution with mean three minutes. What is the probability that a call may last
(i) ends less than three minutes
(ii) ranging from three and five minutes. (6+7+7)
PART-B
5. (a) The means of simple samples of sizes 1000 and 2000 are 67.5 and 68.0 cms
respectively, can the samples be regarded as drawn from the identical population of
standard deviation 2.5 cms.
(b) A set of five similar coins is tossed 320 times and the outcome is
No. of heads 0 one two three four 5
Earning: Approval pending. |