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1. A picnic committee is to be formed by randomly selecting one representative from each of four classes : first year , second year ,

1. A picnic committee is to be formed by randomly selecting one representative from each of four classes : first year , second year , third year and fourth year dasses . The first year class consists of 12 boys and 8 girls ; the second year dass consists of 10 boys and 15 girls ; the third year class consists of 15 boys and 15 girls and the fourth year class consists of 15 boys and 5 girls . A general female member has caimed that there will be gender discrimination in the selection process and suggested to select one boy and one girl representative from each of four classes . But the university authority argued that the relatively low chance of being selected for girls is due not to discrimination , but to the fact that relatively few girls are in the university . Justify her claim . 2. Entry to a certain University is determined by a national test . The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. Nadim wants to be admitted to this university and he knows that he must score better than highest 75 % of the students who took the test . Nadim takes the test and scores 595. Will he be admitted to this university ?

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