2:33 LTED Quantitative Techniq... Quantitative Techniques Assignment 2 Q 1. A husband and wife appear in an interview for two vacancies in the same post. The probability of husband's selection is 1/7 and that of wife's selection is 1/5. What is the probability that : () Both of them will be selected ? (i) Only one of them will be selected ? (iii) None of them will be selected ? Fit a trend to the following data and estimate the sales for 2020 : Q 2. Year 2013 2014 201S 2016 2017 2018 2019 80 130 144 Sales (Rs. Lakhs) 138 120 174 190 Q 3. A and B play a game in which A's chance of winning is 2/3. In a series of 8 games what is the probability that A will win 6 or more games ? a 4. ir x follows Poisson distribution such that P (X 2) = 9 P x = 4) + 90 P (X - 6), find the mean Q.5. Calculate coefficient of correlation by ranking method: X Series 70 60 50 30 40 5 63 79 72 Y Series 10 10.6 12 9.0 9.2 9.5 9.7 11.0 12.4 10.2 Q. 6. Two variables gave the following data : X - 20, y - 15, o, - 4, a, - 3, r=+0.7. Obtain the two regression equations and find the most likely value of Y when X - 24. The following are the annual profits in thousands in a certain business : a 7. Year : 2001 2002 2003 2004 2005 2006 2007 Profit : 60 By the method of least squares, fit a straight line, using that estimate the profit for 2011. 72 75 65 80 85 95
2:33 LTED Quantitative Techniq... Quantitative Techniques Assignment 2 Q 1. A husband and wife appear in an interview for two vacancies in the same post. The probability of husband's selection is 1/7 and that of wife's selection is 1/5. What is the probability that : () Both of them will be selected ? (i) Only one of them will be selected ? (iii) None of them will be selected ? Fit a trend to the following data and estimate the sales for 2020 : Q 2. Year 2013 2014 201S 2016 2017 2018 2019 80 130 144 Sales (Rs. Lakhs) 138 120 174 190 Q 3. A and B play a game in which A's chance of winning is 2/3. In a series of 8 games what is the probability that A will win 6 or more games ? a 4. ir x follows Poisson distribution such that P (X 2) = 9 P x = 4) + 90 P (X - 6), find the mean Q.5. Calculate coefficient of correlation by ranking method: X Series 70 60 50 30 40 5 63 79 72 Y Series 10 10.6 12 9.0 9.2 9.5 9.7 11.0 12.4 10.2 Q. 6. Two variables gave the following data : X - 20, y - 15, o, - 4, a, - 3, r=+0.7. Obtain the two regression equations and find the most likely value of Y when X - 24. The following are the annual profits in thousands in a certain business : a 7. Year : 2001 2002 2003 2004 2005 2006 2007 Profit : 60 By the method of least squares, fit a straight line, using that estimate the profit for 2011. 72 75 65 80 85 95
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:2:33 O
Vo
Quantitative Techniq..
Quantitative Techniques
Assignment 2
Q 1. A husband and wife appear in an interview for two vacancies in the same post. The probability of
husband's selection is 1/7 and that of wife's selection is 1/5. What is the probability that
(i) Both of them will be selected ?
(i) Only one of them will be selected ?
(iii) None of them will be selected ?
0.2. Fit a trend to the following data and estimate the sales for 2020:
Year
2013 2014 201S 2016 2017 2018 2019
80
Sales (Rs. Lakhs)
130
144
138
120
174
190
Q 3. A and B play a game in which A's chance of winning is 2/3. In a series of 8 games what is the
probability that A will win 6 or more games ?
Q 4. If X follows Poisson distribution such that P (X = 2) = 9 P (X = 4) + 90 P (X = 6), find the mean
and variance of X.
Q5.
Calculate coefficient of correlation by ranking method :
X Series
Y Series
Q. 6. Two variables gave the following data
X = 20, y = 15, o, = 4, o, = 3, r= + 0.7.
Obtain the two régression equations and find the most likely value of
Y when X - 24.
The following are the annual profits in thousands in a certain business :
Q. 7. Year : 2001 2002 2003 2004 2005 2006 2007
"-
70
60
50
30
40
63
55
9.5
79
80
12.4
72
10.2
10
10.6
12
9.0
9.2
9.7
11.0
75 65 80 85
Profit : 60
By the method of least squares, fit a straight line, using that estimate
the profit for 2011.
72
95
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