Answer Happy

Let A be the first and the second digits of your AUM student ID; B be the second and the third digits of your AUM student ID; C be the third and the fourth digits of your AUM student ID; D be the fourth and the fifth digits of your AUM student ID. For example, if your student ID number is 34269, then A=34; B=42; C=26; D=69. Write down A to D based on your ID: A = B= C = D = Important note: If you do not solve this assessment with the numbers taken from your student ID as explained above, all calculations and answers are considered to be wrong. Question 1 (40 Points) Suppose the probability of dust storm (DS) in any random day in Kuwait is (A)/1000. If there is no dust storm (DSC) the probability of car accident (CA) in a particular junction of Kuwait city is B/300; if it is a dusty day (DS) the probability of car accident in the same junction is B/200. a) Identify these probabilities P(CAIDS)=........ P(CAIDS)....... P(CAIDS) ...... b) Identify the sample space and the probability associated to each outcome. (10 Points) c) Calculate the probability of car accident in a day in that junction [P(CA)]. (10 Points) d) Given that there was car accidents today; calculate the probability that today is a dusty day. (10 Points) P(CAIDS)....... (10 Points) Question 2 (40 points) A factory has received a shipment of Mlaptops (M=Max{A, B, C, D)), of which Nare touch screen(N=Min{A, B, C, D)), and the rests are not touch screen. Suppose 6 of these Mlaptops are selected at random a) What is the probability that exactly 3 of those selected laptops are touch screen? (10 Points) b) What is the probability that at least 4 of those selected laptops are touch screen? (10 Points) c) What is the probability that at most 4 of those selected laptops are touch screen? (10 Points) d) What is the probability that at most 3 of those selected laptops are not touch screen? (10 Points)