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1. In a certain assembly plant, three machines B1,B2 and 33 make 30% 45% and 25% respectively of the products. It is known from the past experience that 23and 2% of the products made by cach machine, respectively we defective. Now suppose tha finished product is randomly selected What is the probability that it is defective? 2. The following data represents the number of hours (on crage) worked each week for a sample of community college students Hours worked (per week) 0-9 10-19 20-29 3039 40-49 Total Number of Students 24 14 39 18 5 Find men and median b. Find standard deviation c. Find 89% percentile 3. The following data represent the marital status and gender of the people aged 18 years old and older Males (in Females in Total in millions) millies) millies) வாயால் 220 AT Wowd Tvorce STO 2 Totais fin milli a) Compute the probability that a randomly selected male has never married b) Compute the probability that a randomly selected individual who has never med is male Compute the probability that a randomly selected individual who has married is female d) Compute the probability that a randomly selected female has widowed Compute the probability that a randomly selected individual who has divorced is male 4 Customers are used to evaluate preliminary product designs. In the past 99% of highly successful products received good review 60% of moderately excessful products received good reviews and 10% of poor products received good reviews. In addition, of products have been highly successful, 35% have been maderately successful and 25% have been por products a Find the probability that a product attains a good review b. a new design attains a good review. what is the probability that it will be a highly successfull product? If a product does not attain a good review, what is the probability that it will be a moderately successfall product