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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Question: 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

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

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