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5. Discuss briefly about discrete and continuous random variables with examples? Tutiar (Functional fons. mean, variance...) of Common discrete our Uniform, Normal and

5. Discuss briefly about discrete and continuous random variables with examples? Tutiar (Functional fons. mean, variance...) of Common discrete our Uniform, Normal and

MATLAB: An Introduction with Applications
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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5. Discuss briefly about discrete and continuos random variables with examples? 6. Write the characteristics (Functional for. mean, variance...) of Common discrete distributions (Binomial, Poisson and Geometric) and continuous (Uniform, Normal and Exponential) distributions? 7. Suppose that the probability that both of a pair of twins is boys is 0.30 and the probability that they are both girls is 0.26. Given that he probability of the first child being a boy is 0.52, what is the probability that: (0) (11) The second twin is a boy, given that the first is a boy? The second twin is a girl, given that the first is a girl? 8. Suppose a charity organization is mailing printed return-address stickers to over one million homes in the Ethiopia. Each recipient is asked to donate either $1, $2, $5, $10, $15, or $20. Based on past experience, the amount a person donates is believed to follow the following probability distribution: X = x P(X=x) 0.1 $1 $2 $5 $10 $15 $20 0.2 0.3 0.2 0.15 0.05 Galaxy A14 9. Suppose that 5% of all TVs made by A&B Company in 2012 are defective. If eight of these TVs are randomly selected from across the country and tested, what is the probability that exactly three of them are defective? Assume that each TV is made independently of the others. 10. From a normal sample of size 36 a mean of 75 was found .Given that the population standard deviation is 9. Find a 95% confidence interval for the population mean (Hint select and use Z 05/2 = 1.68 )?
Transcribed Image Text:5. Discuss briefly about discrete and continuos random variables with examples? 6. Write the characteristics (Functional for. mean, variance...) of Common discrete distributions (Binomial, Poisson and Geometric) and continuous (Uniform, Normal and Exponential) distributions? 7. Suppose that the probability that both of a pair of twins is boys is 0.30 and the probability that they are both girls is 0.26. Given that he probability of the first child being a boy is 0.52, what is the probability that: (0) (11) The second twin is a boy, given that the first is a boy? The second twin is a girl, given that the first is a girl? 8. Suppose a charity organization is mailing printed return-address stickers to over one million homes in the Ethiopia. Each recipient is asked to donate either $1, $2, $5, $10, $15, or $20. Based on past experience, the amount a person donates is believed to follow the following probability distribution: X = x P(X=x) 0.1 $1 $2 $5 $10 $15 $20 0.2 0.3 0.2 0.15 0.05 Galaxy A14 9. Suppose that 5% of all TVs made by A&B Company in 2012 are defective. If eight of these TVs are randomly selected from across the country and tested, what is the probability that exactly three of them are defective? Assume that each TV is made independently of the others. 10. From a normal sample of size 36 a mean of 75 was found .Given that the population standard deviation is 9. Find a 95% confidence interval for the population mean (Hint select and use Z 05/2 = 1.68 )?
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