hi. i have some question that im killing my self.i dont knowwhat to do any more.

Question

hi. i have some question that im killing my self.i dont knowwhat to do any more. need help getting the answers. they justdont make sense to me for. hopefully u guys can help me thanksin advance. show works if possible 1. the table below shows the soft drinks preferences of peoplein three age groups cola root beer lemon-lime under 21 of age 40 25 20 between 21 and 40   35 20 30 over 40 years of age 20 30 35 if one of the 255 subjects is randomly selected find theprobability that the person drinks rootbeer given that they areover 40. #2) A class consist of 46 women and 81 men. if a student israndomly selected, what is the probability that the student is awomen. #3) in a blood testing procedure, blood samples from 5 peopleare combine into one mixture. the mixture will only testnegative if all the individual samples are negative. if theprobability that an individual sample test positive is 0.09, whatis the probability that the mixture will test positive? #4) a manufacturing process has 70% yield, meaning that 70% ofthe products are acceptable and 30% are defective. if three of theproduct are randomly selected,find the probability that all of themare acceptable.? last one 5) a bag contains 6 red chipsand 12 blue chips. twochips are selected randomly without replacement from the bag. whatis the probability that the two chips are the same color? hi. i have some question that im killing my self.i dont knowwhat to do any more. need help getting the answers. they justdont make sense to me for. hopefully u guys can help me thanksin advance. show works if possible 1. the table below shows the soft drinks preferences of peoplein three age groups cola root beer lemon-lime under 21 of age 40 25 20 between 21 and 40   35 20 30 over 40 years of age 20 30 35 if one of the 255 subjects is randomly selected find theprobability that the person drinks rootbeer given that they areover 40. #2) A class consist of 46 women and 81 men. if a student israndomly selected, what is the probability that the student is awomen. #3) in a blood testing procedure, blood samples from 5 peopleare combine into one mixture. the mixture will only testnegative if all the individual samples are negative. if theprobability that an individual sample test positive is 0.09, whatis the probability that the mixture will test positive? #4) a manufacturing process has 70% yield, meaning that 70% ofthe products are acceptable and 30% are defective. if three of theproduct are randomly selected,find the probability that all of themare acceptable.? last one 5) a bag contains 6 red chipsand 12 blue chips. twochips are selected randomly without replacement from the bag. whatis the probability that the two chips are the same color? cola root beer lemon-lime under 21 of age 40 25 20 between 21 and 40   35 20 30 over 40 years of age 20 30 35

Explanation / Answer

I can manage 1, 2, and 5 right away. 1. One condition of the problem is that you know theperson is over 40 years of age; this means the population of yoursample size is the 85 individuals in the 40+ age group; there are20 that like cola, 30 that like root beer and 35 that likelemon-lime. Therefore the probability that you select one ofthe 30 out of 85 is: 30/85 = 0.3529 2. You have a sample size with population = 46+81=127people. The probability that you chose one of the 46 womenfrom the population is: 46/127 = 0.3622 5. There are two ways to win this selection: thefirst two chips are red or the first two chips are blue; themethod to solve this problem is find the probability of chosing twored chips, then the probability of chosing two blue chips, and thenadd the two solutions for the probability of choising two chips ofthe same color. The probability of the first chip being a redchip is: (6 red chips)/(population of 18 chips) = 0.3333; Theprobability of the second chip being a red chip is: (5 redchips)/(population of 17 chips) = 0.2941; therefore the probabilityof the first two draws being two red chips is the first probabilitymultiplied by the second probability: P[two red chips] =(0.3333)*(0.2941) = 0.0980. The probability of the first chipbeing a blue chip is: (12 blue chips)/(population of 18 chips) =0.6666; the probability of the second chip being a blue chip is:(11 blue chips)/(population of 17 chips) = 0.6471; therefore theprobability of the first two draws being two blue chips is thefirst probability multiplied by the second probability: P[two bluechips] = (0.6666)*(0.6471) = 0.4314; therefore, the probabilitythat the first two chips are the same color is the sum of the twoindividual probabilities: P[two same-colored chips] =(0.0980)+(0.4314) =0.5294

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