Can i get the solution to 14, 20 and 22 please he Maltiplication Rules and Condi
ID: 3040586 • Letter: C
Question
Can i get the solution to 14, 20 and 22 please he Maltiplication Rules and Condisional Probability 223 Women and Computer Use It is reported of working women use computers at work s Warking 5 working women at random. Find he probability that at least I doesn't use a computer at work The probability that all 5 use a computer in their 1n abx of 24 inds, 3 are defective. r3re sold, findthe probabiliry that all are defective. Would you consider this event likely or unlikely to occur? The 18. Sales A manufacturer makes two models of an isem model I, which acce ants fr 80% of unit sales, and model 11, which accounts for 20% of unit sales. Because of defects, the manufacturer has to replace (or exchange) 10% of its model l and 18% of its model 11. If a model is selected at random, find the probability that it will be defective via Cell Phones Thirty-five percent of Te who wn cell phones use their phones to send drcive text messages. Choose 4 cell phone owners t random. What is the probability that none use their 19 Student Financial Aid In a recent year 3,073,000 e for texting students and 10.980,000 female students were enrolled as undergraduates. Receiving aid were 606% of the male students and 65.2% of the female students. or those receiving aid, 448% of the males got federal aid and 50.4% of the females got federal ad Chose student at randoem. (Hind: Make a tree diagram.Find the probability that the student is a. A male student without aid Marbles A bag contains 9 red marbles. marbles, and 6 blue marbles, Randomly choose a Selecting s white one at a time, and without replacement Find the The probability that the first marble is red and the second is white k The probability that both are the same color . The probability that the second marble is blue h. A male student, given that the student has Cable Television ln 2006, 86% of U.S. households had aid A female student or a stadent who receives federal c. cable TV. Choose 3 households at random. Find the that None of the 3 houscholds had cable TV All 3 households had cable TV 20. Selecting Colored Balls Um 1 contains 5 red balls and 3 black balls, Urn 2 contains 3 red balls and 1 black ball. Um 3 contains 4 red balls and 2 black balls. If an urn is selected at random and a ball is drawn, find the probability it will be red. At least I of the 3 households had cable TV 12. Flashlight Batteries A flashlight has 6 batteries, 2 of which are defective. If 2 are selecied at random without classifies drivers as low-risk, medium-risk, and high risk. Of those insured, 60% are low-risk, 30% are medium-risk, and 10% are high-risk. After a study, the company finds that during a 1-year period. 1% of the low-risk drivers had an accident. 5% of the medium risk drivers had an accident, and 9% of the high-risk drivers had an accident. If a driver is selected at random, find the probability that the driver will have had an accident during the year replacement, find the probability that both are defective. 13 Drawing a Card Four cards are drawn from a deck without replacement. Find these probabilities a. All are kings b All are diamonds, c. All are red cards. 14. Scientific Study In a scientific study there are 8 guinea pigs, 5 of which are pregnant. If 3 are selected at random without replacement, find the probability that 22. Defective Items A production process produces an item. On average, 15% of all iems produced are defective. Each item is inspected before being shipped, and the inspector misclassifies an item 10% of the time. What proportion of the items will be "classified as good"? What is the probability that an item is defective given that it was classified as good? 15. Cards If 2 cards are selected from a standard deck of 52 cards without replacement, find these probabilities. a Both are spades b Both are the same suit. Both are kings. 23. Prison Populations For a recent year, 0.99 of the c. incarcerated population is adults and 0.07 of the incarcerated are female. If an incarcerated person is selected at random, find the probability that the person is a female given that the person is an adult. Source: Bareas ef Justice 16. Winning a Door Prize At a gathering consisting of 10 men and 20 women, two door prizes are awarded. Find the probability that both prizes are won by men. The winning ticket is not replaced. Would you consider this event likely or unlikely to occur? 4-39Explanation / Answer
14)P(all are pregnant )=P(first is *second is *third is) =(5/8)*(4/7)*(3/6) =5/28
20)P(red) =P(first urn and red+second urn and red+tird urn and red ball)=(1/3)*(5/8)+(1/3)*(3/4)+(1/3)*(4/6)
=49/72
22)
proportion of time classified as good=P(good and classfied good+bad and classifed good)
=0.85*0.9+0.15*0.1=0.78
probability of defective given classified as good =P(bad and classifed good)/P(classified good)
=0.15*0.1/0.78=0.0192