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Question 11: Suppose that 2 = { HHH, HHT,HTT,TTT}, »r = 2° and r(A) - Now, let Y be a random -3 for a = HHH variable on the probability space [N, A,P) defined by: X(@) = for w = HHT,HTT 1 for w = TTT Then: 09+ a) Represent this random variable graphical. 0.7- 0.6+ 05- 0.1+ 03 02 0.1+ for z<-3 for - 3sz<1 b) Determine the event in the relation: {@ e N ;X(@) s z} = for 1sr<2 for z22 c) Determine the distribution function F, and sketch it. 0.9- 0.5- 0.7 0.6 03 0.4 03- 0.2+ 0.1 F(2) =· Question 13: A factory produce a kind of light bulbs. It claims by 95% confidence level, that the mean lifetime of the lamps has u= 500 hours working with standard deviation o =5 working hours. We select a sample of 36 bulbs and find that the mean lifetime of the lamps equal to 480 hours working. Then: a) Determine 95% confidence interval for the mean lifetime. (The standard normal distribution table is on the next page). b) If the sample size equal to 100, what is the value for the margin error 6, ? c) If the margin error 8, =0.15 (for the 95% confidence level), what is the sample size which we use ?

Question 11: Suppose that 2 = { HHH, HHT,HTT,TTT}, »r = 2° and r(A) - Now, let Y be a random -3 for a = HHH variable on the probability space [N, A,P) defined by: X(@) = for w = HHT,HTT 1 for w = TTT Then: 09+ a) Represent this random variable graphical. 0.7- 0.6+ 05- 0.1+ 03 02 0.1+ for z<-3 for - 3sz<1 b) Determine the event in the relation: {@ e N ;X(@) s z} = for 1sr<2 for z22 c) Determine the distribution function F, and sketch it. 0.9- 0.5- 0.7 0.6 03 0.4 03- 0.2+ 0.1 F(2) =· Question 13: A factory produce a kind of light bulbs. It claims by 95% confidence level, that the mean lifetime of the lamps has u= 500 hours working with standard deviation o =5 working hours. We select a sample of 36 bulbs and find that the mean lifetime of the lamps equal to 480 hours working. Then: a) Determine 95% confidence interval for the mean lifetime. (The standard normal distribution table is on the next page). b) If the sample size equal to 100, what is the value for the margin error 6, ? c) If the margin error 8, =0.15 (for the 95% confidence level), what is the sample size which we use ?

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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|A| Question 11: Suppose that 2 = {HHH,HHT,HTT,TTT}, x = 2° and r(A) . Now, let Ybhe a random -3 for w = HHH variable on the probability space [N,A, P] defined by: X(@) = 1 for o = HHT,HTT for a = TTT Then: 09+ 0.5 0,7- 0.6+ a) Represent this random variable graphical. 0.4- 03- 02+ 0.1+ for z<-3 for - 3sz<1 for 1Sr<2 b) Determine the event in the relation: {@ e N ;X(@) S z} = for z22 c) Determine the distribution function F, and sketch it. 0.9- 0.5- 0.7- 0.6- 05- 0.4+ 03- 02+ 0.1+ F(2) = Question 13: A factory produce a kind of light bulbs. It claims by 95% confidence level, that the mean lifetime of the lamps has u = 500 hours working with standard deviation o =5 working hours. We select a sample of 36 bulbs and find that the mean lifetime of the lamps equal to 480 hours working. Then: a) Determine 95% confidence interval for the mean lifetime. (The standard nurmal distribution table is on the next page). b) If the sample size equal to 100, what is the value for the margin error 6, ? c) If the margin error 6, =0.15 (for the 95% confidence level), what is the sample size which we use ?
Transcribed Image Text:|A| Question 11: Suppose that 2 = {HHH,HHT,HTT,TTT}, x = 2° and r(A) . Now, let Ybhe a random -3 for w = HHH variable on the probability space [N,A, P] defined by: X(@) = 1 for o = HHT,HTT for a = TTT Then: 09+ 0.5 0,7- 0.6+ a) Represent this random variable graphical. 0.4- 03- 02+ 0.1+ for z<-3 for - 3sz<1 for 1Sr<2 b) Determine the event in the relation: {@ e N ;X(@) S z} = for z22 c) Determine the distribution function F, and sketch it. 0.9- 0.5- 0.7- 0.6- 05- 0.4+ 03- 02+ 0.1+ F(2) = Question 13: A factory produce a kind of light bulbs. It claims by 95% confidence level, that the mean lifetime of the lamps has u = 500 hours working with standard deviation o =5 working hours. We select a sample of 36 bulbs and find that the mean lifetime of the lamps equal to 480 hours working. Then: a) Determine 95% confidence interval for the mean lifetime. (The standard nurmal distribution table is on the next page). b) If the sample size equal to 100, what is the value for the margin error 6, ? c) If the margin error 6, =0.15 (for the 95% confidence level), what is the sample size which we use ?
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