Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) B.Sc. in Biotechnology 2020 March Previous Question Papers
Roll No. Total No. of Pages : 03
Total No. of Questions : 09
B.Sc. (BT) (2018 Batch) (Sem.?2)
BIOSTATISTICS
Subject Code : BSBT-203-18
M.Code : 75874
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.
SECTION-A
1. Write briefly :
a) If on an average 8 ships out of 10 arrive safely at a port. Find the mean and standard
deviation of number of ships arriving safely out of a total of 1600 ships.
b) What are regression coefficients? State the properties of regression coefficients.
c) What are the advantages of randomized block design?
d) What do you understand by power of a test in statistical analysis ?
e) Define Null Hypothesis and Alternate Hypothesis.
f) Describe role of curve smoothening.
g) What are derivative curves?
h) In which situations, polynomial fillings are used?
i) Give fundamental applications of Matrices manipulation.
j) In a group of 125 students 70 passed in mathematics, 55 passed in statistics and 30
passed in both. A student is selected at random. Find the probability that he has
passed in at least one subject.
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1 | M-75874 (S2)-1310
Roll No. Total No. of Pages : 03
Total No. of Questions : 09
B.Sc. (BT) (2018 Batch) (Sem.?2)
BIOSTATISTICS
Subject Code : BSBT-203-18
M.Code : 75874
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.
SECTION-A
1. Write briefly :
a) If on an average 8 ships out of 10 arrive safely at a port. Find the mean and standard
deviation of number of ships arriving safely out of a total of 1600 ships.
b) What are regression coefficients? State the properties of regression coefficients.
c) What are the advantages of randomized block design?
d) What do you understand by power of a test in statistical analysis ?
e) Define Null Hypothesis and Alternate Hypothesis.
f) Describe role of curve smoothening.
g) What are derivative curves?
h) In which situations, polynomial fillings are used?
i) Give fundamental applications of Matrices manipulation.
j) In a group of 125 students 70 passed in mathematics, 55 passed in statistics and 30
passed in both. A student is selected at random. Find the probability that he has
passed in at least one subject.
2 | M-75874 (S2)-1310
SECTION-B
2. A building contractor is interested in knowing whether any relationship does exist
between the number of building permits issued and the volume of sales of such buildings
in some passed years. He collects data about sales (Y in thousand rupees) and the number
of building permits issued (X in hundreds) in past 10 years. The results are given below :
? x = 117, ?y = 78, ? ? xy = 981, ? x
2
= 1491, ? y
2
= 662
a) What level of sales can you expect next year if it is hoped that 2000 building permits
would be issued ?
b) What change in sales is likely to take place with an increase of 100 building permits?
3. Describe various methods of numerical integration.
4. Write a note on graphical presentation of data.
5. In a shooting competition, the probability of a man hitting a target is 1/5. If he hits the
target 5 times. What is the probability of hitting target.
a) Only two times
b) At least two times
c) At most two times?
6. What are the properties of Determinants? Prove that
1
1
1
x yz
y zx
z xy
= (y ? z) (z ? x) (x ? y)
SECTION-C
7. a) Five thousand candidates appeared in a certain examination carrying a maximum of
100 marks. It was found that the marks were normally distributed with mean 39.5 and
standard deviation 12.5. Determine approximately the number of candidates who
secured a first class for which a minimum of 60 marks is necessary. The proportion of
the area of a normal curve at a deviation Z is : (5)
Z 1.5 1.6 1.7 1.8
Area 0.93319 0.94520 0.95543 0.96407
b) Calculate the value of mean and standard deviation from the following frequency
distribution. (5)
Variable 10-25 25-40 40-55 55-70 70-85 85-100
Frequency 6 50 44 26 3 1
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1 | M-75874 (S2)-1310
Roll No. Total No. of Pages : 03
Total No. of Questions : 09
B.Sc. (BT) (2018 Batch) (Sem.?2)
BIOSTATISTICS
Subject Code : BSBT-203-18
M.Code : 75874
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.
SECTION-A
1. Write briefly :
a) If on an average 8 ships out of 10 arrive safely at a port. Find the mean and standard
deviation of number of ships arriving safely out of a total of 1600 ships.
b) What are regression coefficients? State the properties of regression coefficients.
c) What are the advantages of randomized block design?
d) What do you understand by power of a test in statistical analysis ?
e) Define Null Hypothesis and Alternate Hypothesis.
f) Describe role of curve smoothening.
g) What are derivative curves?
h) In which situations, polynomial fillings are used?
i) Give fundamental applications of Matrices manipulation.
j) In a group of 125 students 70 passed in mathematics, 55 passed in statistics and 30
passed in both. A student is selected at random. Find the probability that he has
passed in at least one subject.
2 | M-75874 (S2)-1310
SECTION-B
2. A building contractor is interested in knowing whether any relationship does exist
between the number of building permits issued and the volume of sales of such buildings
in some passed years. He collects data about sales (Y in thousand rupees) and the number
of building permits issued (X in hundreds) in past 10 years. The results are given below :
? x = 117, ?y = 78, ? ? xy = 981, ? x
2
= 1491, ? y
2
= 662
a) What level of sales can you expect next year if it is hoped that 2000 building permits
would be issued ?
b) What change in sales is likely to take place with an increase of 100 building permits?
3. Describe various methods of numerical integration.
4. Write a note on graphical presentation of data.
5. In a shooting competition, the probability of a man hitting a target is 1/5. If he hits the
target 5 times. What is the probability of hitting target.
a) Only two times
b) At least two times
c) At most two times?
6. What are the properties of Determinants? Prove that
1
1
1
x yz
y zx
z xy
= (y ? z) (z ? x) (x ? y)
SECTION-C
7. a) Five thousand candidates appeared in a certain examination carrying a maximum of
100 marks. It was found that the marks were normally distributed with mean 39.5 and
standard deviation 12.5. Determine approximately the number of candidates who
secured a first class for which a minimum of 60 marks is necessary. The proportion of
the area of a normal curve at a deviation Z is : (5)
Z 1.5 1.6 1.7 1.8
Area 0.93319 0.94520 0.95543 0.96407
b) Calculate the value of mean and standard deviation from the following frequency
distribution. (5)
Variable 10-25 25-40 40-55 55-70 70-85 85-100
Frequency 6 50 44 26 3 1
3 | M-75874 (S2)-1310
8. Write notes on :
a) Design of experiments (5)
b) Fourier transformation (5)
9. a) Ten individuals are chosen at random from a population and their heights are found to
be in inches 63, 63, 66, 67,68, 69, 70, 70, 71, 71. In the light of these data discuss the
suggestion that the mean height in the universe is 66 inches. (4)
b) In a cosmetic company, the sales manager make the performance report on three
salesmen during the three seasons. Check that there is significant difference between
salesman?s performances and between seasons using 0.05 level of significance. (6)
Season
Salesman Summer Rainy Winter
A 50 40 41
B 30 45 55
C 45 36 48
NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
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This post was last modified on 02 April 2020