Note: Answer two questions only (Q3 is mandatory) Date: 23/10/2024 Name: subject: Probability & Statistics Q1: A dice is loaded in such that an odd number is half as likely to occur as an even number. If (E) is the event that a number less than or equal 5 occurs on a single toss of the dice, find P(E). Q2: The likely location of a mobile device in the home is as follows: Adult bedroom: 0.2, Child bedroom: 0.1, Office: 0.4, and other rooms: 0.3 (a) What is the probability that a mobile device is in a bedroom? (b) What is the probability that it is not in a bedroom? Q3: Assume we have two boxes, box1 contains 2 black balls with 3 white balls and box2 contains 5 black balls with 2 white balls. If the selection of two boxes is equally likely, and the selected ball was white, what is the probability that it is from Box1? Find P(B1|W)? Box1 (B1) Box2 (B2)