CamScanner (1.25 marks) Question 11: Consider X a random variable on a probability space [,,P]. Then:...
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CamScanner (1.25 marks) Question 11: Consider X a random variable on a probability space [,,P]. Then: a) If the distribution function of X has the form Fx (x) = = x-a b-a for arb with -- determine the probability density function (pdf) fx for a xb. b) If pdf of X has the form fx(x) = c.r for 1 < x <3 and fx (x) = 0 otherwise, so determine the value of c. (4 marks) Question 12: A televisions manufacturer claims that its television life is 11000 working hours. We select a simple random sample of size 225 televisions from the factory production, so we found that the average of televisions life is 10000 working hours with a standard deviation of 30 working hours. If the life of televisions is normally distributed, then: a) Determine 98% confidence interval for the mean of televisions life (4) for all factory production. CamScanner (1.25 marks) Question 11: Consider X a random variable on a probability space [,,P]. Then: a) If the distribution function of X has the form Fx (x) = = x-a b-a for arb with -- determine the probability density function (pdf) fx for a xb. b) If pdf of X has the form fx(x) = c.r for 1 < x <3 and fx (x) = 0 otherwise, so determine the value of c. (4 marks) Question 12: A televisions manufacturer claims that its television life is 11000 working hours. We select a simple random sample of size 225 televisions from the factory production, so we found that the average of televisions life is 10000 working hours with a standard deviation of 30 working hours. If the life of televisions is normally distributed, then: a) Determine 98% confidence interval for the mean of televisions life (4) for all factory production.
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