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60% of people those who purchase life insurance are women. If the owners of 5 life


insurance are randomly selected, then find the probability that there are


(i) no women


(ii) exactly 3 women


(iii)more than 2 women.


. XX company assembles electrical components for the last 10 days the company had averaged 9 rejected with standard deviation of 2 rejects.DD company averaged 8.5 rejected with standard deviation of 1.5 rejects. At the 0.05 level of significance can we conclude that there is more variation in the number of rejects per day for the XX company


10. A random sample of 100 pumpkins is obtained and the mean circumference is found to be 40.5cm. Assuming that the population standard deviation is known to be 1.6cm, use a 0.05 significance level to test the claim that the mean circumference of all pumpkins is equal to 39.9cm



. 25% of all Ethiopian households had VCR in 2002. If 500 households are randomly selected from the population, what is the probability that 100 or more households have VCR?



1.     Work Interruptions Survey found that out of 200 workers, 168 said they were interrupted three or more times an hour by phone messages, faxes, etc. Find the 90% confidence interval of the population proportion of workers who are interrupted three or more times an hour.



[T] Find "\\mathbb{Q}\\cup \\mathbb{N}" ?


DG. Let X be the universal space. Which set is equal to "\\mathrm{Cl}(X) \\cap \\mathrm{Cl}(X \\backslash A) ?(\\mathrm{Fr}" stands for the boundary of a set, "\\mathrm{Cl}" means the closure of a set).


"\\text { Find the interior Int }\\left\\{\\frac{1}{n} \\mid n \\in \\mathbb{N}\\right\\} \\text { of a subset of } \\mathbb{R} \\text {. }" (DG)


"\\text { Find the limit points of }\\left\\{\\frac{1}{n} \\mid n \\in \\mathbb{N}\\right\\} \\text { in } \\mathbb{R} \\text {. }" (DG)


ST. There are 4 traffic lights along the road, each prohibits further movement of the car with a probability of 0.5. Find the

distribution of the number of the traffic lights that car passed to the first stop. What is the variance of the random

variable? 


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