BA 260 CHAPTER 5 HOMEWORK FALL 2016 Answer all uestions. Do not answer them on this uestion 2 er. ShOW all workin S!!! Carry intermediate calculations to at least four decimal places. e all the four possible outcomes of 1- A decision maker subjectively assigned the following probabilities to th .20. Are these probability an experiment: P(El) = 0.10, P(EZ) = 0.15, P(E3) = 0.40, and P(E4) = 0 assignments valid? Explain. "b 'Pcw n families eat at home, a researcher surveyed 200 adults living with children under 2. To investigate how cite the age of 18 years. The survey results are shown below. Number of Survey Responses Number of Family Meals at Home per Week family eats no meal at home during the week? What is the probability that a randomly selected b. What is the probability that a randomly selected family eats at least three meals at home during the week? 3. Given that P(A) = .6, P(B) = .25, and P(A n B) = .12, find; a. P(A' ) b. P(A U B) c. P(AIB) 4. Let P(A) = .22 and P(B) = .77. Also events A and B are independent. Find a. P(AIB) b. P(BJA' ) c. P(A U B)E are mutually exclusive. Find 'X 5. Let P(A) = .30 and P(E) = .54. Also events A and a. P(A n E) b. P(A U E) l c. P(A n E' ) " eam can be 4' d 3 males. Only two members of this t ously without X 6. A work team consists of8 members, 5 females an 1 any. The selection is random (and obvx selected to have dinner with the CEO ofthe comp replacement). a. How many possible pairs of individuals can be selected for this dinner? b. How many possible pairs of only females can be selected for this dinner? 7. If the letters A, B, C, D, and E are to be used in a four-letter code, how many different codes are possible if repetitions are not permitted? 8. A sample of 200 students at City High School was categorized according to which campus they attend and how they get to school. East (E) West (W) North (N) South (S) Total Ride bus (R) 22 25 45 40 132 14 10 12 48 Drive (D) 12 0 8 20 Walk 1 fl! 6 6 Total 40 45 55 60 200 Let E be the event that the student attends the East campus. Let R be the event that the student rides the bus. Suppose that a student is randomly selected from this group: a. What is the probability that the student attends the East campus? b. What is the probability that the selected student rides the bus? c. What is the probability that the selected student attends the East campus and rides the bus? d. What is P(E U R)? e. Given that the selected student attends the East campus, what is the probability that the student rides the bus