6.Suppose the probability that a company will be awarded a certain contract is .25, the probability that it will be awarded a second contract is .21 and the probability that it will get both contracts is .13. What is the probability that the company will win at least one of the two contracts? 7.A psychologist interested in right-handedness versus left-handedness and in IQ scores collected the following data from a random sample of 2000 high school students. Right-handed Left-handed Total High IQ 190 10 200 Normal IQ 1710 90 1800 Total 1900 100 2000 a.What is the probability that a student from this group has a high IQ? b.What is the probability that a student has a high IQ given that she is left-handed? c.Are high IQ and left-handed independent? Why or why not? 8.A VCR manufacturer receives 70% of his parts from factory F1 and the rest from factory F2. Suppose that 3% of the output from F1 are defective while only 2% of the output from F2 are defective. a.What is the probability that a received part is defective? b.If a randomly chosen part is defective, what is the probability it came from factory F1? 9.A sports survey taken at THS shows that 48% of the respondents liked soccer, 66% liked basketball and 38% liked hockey. Also, 30% liked soccer and basketball, 22% liked basketball and hockey, and 28% liked soccer and hockey. Finally, 12% liked all three sports. 10.Donald has ordered a computer and a desk from 2 different stores. Both items are to be delivered Tuesday. The probability that the computer will be delivered before noon is .6 and the probability that the desk will be delivered before noon is .8. If the probability
that either the computer or the desk will be delivered before noon is .9, what is the