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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) Q1. Both of them will be selected? (ii) Only one of them will be selected ? (iii) None of them will be selected ?

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) Q1. Both of them will be selected? (ii) Only one of them will be selected ? (iii) None of them will be selected ?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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 estimata 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 72 10.2 10 10.6 12 9.0 9.2 9.7 11.0 12.4 75 65 80 85 Profit : By the method of least squares, fit a straight line, using that estimate the profit for 2011. 60 72 95
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 estimata 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 72 10.2 10 10.6 12 9.0 9.2 9.7 11.0 12.4 75 65 80 85 Profit : By the method of least squares, fit a straight line, using that estimate the profit for 2011. 60 72 95
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