Q1. 52% percent of the students at a certain college are females. 5% of the students in this college are majoring in computer science. 2% of the students are women majoring in computer science. A student is selected at random from the college: a. What is the probability that she is a female, or she is majoring in computer science? b. If the student is female, what is the probability that she is majoring in computer science? c. If the student isn't majoring in computer science, what is the probability that she is a female? Q2. A company manufactures MP3 players at two factories. Factory I produces 60% of the MP3 players. 2% of the MP3 players produced at Factory I are defective, while 1% of Factory II's are defective. An MP3 player is selected at random and found to be defective. What is the probability it came from Factory II? Q3. A coin is biased so that a head is twice as likely to occur as tail. If the coin is tossed twice, what is the probability of getting: a. Exactly 2 heads? b. A tail and a head respectively? c. If X is r.v. represents mumber of tails so find the probability distribution of X and then express the results graphically as a probability histogram Q4. If A and B are two events, P(A)= 0.4, (A N B)' = 0.8 and P(BNA' )=0.1 Find the Probability of : a. Occurrence of A or B. b. Occurrence of only A. c. Are A and B dependent events?