Question: What probability spent more than $125? What probability spent between $75 and $125? (4 marky) What is the probability that they spend more than $45?

What probability spent more than $125? What probability spent between $75 and $125? (4 marky) What is the probability that they spend more than $45? (6 marks) (3 marks) (Total 25 marks) Question 5 The mean number of defects in 100 m of fabric is 3. If the number of defects follow a Poisson distribution, determine/calculate i. the probability that in 200 m of fabric exactly 3 defects will occur (5 marks) ii. the probability that in 50 m of fabric there will be less than 3 defects (7 marks) ili. the coefficient of variation for 100 m of fabric (2 marks) The r. v. X is such that .X-N ( # , 100). A value is taken at random from the population and found to be 172. Test. at the 5% level, whether the population mean # could be 150 (11 marks) (Total 25 marks)

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