In a random sample of UTC students, 50% indicated they are business majors, 40% engineering majors, and 10% other majors. Of the business majors, 60% were females, whereas 30% of engineering majors were females. Finally, 20% of the other majors were female. What percentage of students in this sample was female? (format must use % sign) QUESTION 2 In the two upcoming basketball games, the probability that UTC will defeat Marshall is 0.63 , and the probability that UTC will defeat Furman is 0.55 . The probability that UTC will defeat both opponents is 0.3465 . What is the probability that UTC will defeat Furman given that they defeat Marshall? (2 Decimal format =0.00 ) QUESTION 3 In a random sample of UTC students, 50% indicated they are business majors, 40% engineering majors, and 10% other majors. Of the business majors, 60% were females, whereas 30% of engineering majors were females. Finally, 20% of the other majors were female. Given that a person is female, what is the probability that she is an engineering major? (4 Decimal format =0.0000 )In the two upcoming basketball games, the probability that UTC will defeat Marshall is 0.63 , and the probability that UTC will defeat Furman is 0.55 . The probability that UTC will defeat both opponents is 0.3465 . What is the probability that UTC will win at least one of the games? (4 Decimal format =0.0000) QUESTION 5 If A and B are independent events with P(A)=0.2 and P(B)=0.6, then P(A or B)= 0.62 0.12 0.60 0.68.