Question 3: Let A and B two independent events such that P(A)=0.5 , P(A- B) =...

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Question 3: Let A and B two independent events such that P(A)=0.5 , P(A- B) = 0.3. find 1) P(А B) (12 points) 2) P(B) 3) P(AUB) Q2: A researcher in college collected the following data for 125 students: Gender Right-handed Left- handed Total Female 53 13 66 Male 47 12 59 Total 100 25 125 If a student was chosen randomly: 1) Find the probabilty that the student chosen is a left handed student. 2) Find the probabilty that the student is right- handed and female. 3) Given that the student is a female, What is the probabilty that she is Left-handed. Question 3: Let A and B two independent events such that P(A)=0.5 , P(A- B) = 0.3. find 1) P(А B) (12 points) 2) P(B) 3) P(AUB) Q2: A researcher in college collected the following data for 125 students: Gender Right-handed Left- handed Total Female 53 13 66 Male 47 12 59 Total 100 25 125 If a student was chosen randomly: 1) Find the probabilty that the student chosen is a left handed student. 2) Find the probabilty that the student is right- handed and female. 3) Given that the student is a female, What is the probabilty that she is Left-handed.