Use the following for questions 1-4: A marketing survey compiled data on the number of personal computers in households. If X = the number of computers in a randomly-selected household, and we omit the rare cases of more than 5 computers, then X has the following distribution: X 0 2 3 4 5 P(X) 0.10 0.19 0.25 0.19 0.15 0.1 1. The expected value of X is E(X) = (a) 2.46 (b) 1.00 (c) 2.56 (d) 2.54 (e) 2.58 2. Which of the following is the best interpretation of the expected value of . (a) Half of the households will have less than " computers and half of the households will have more than , computers. (b) If many households are selected, the most likely outcome is , computers. (c) If many households are selected, the number of computers will typically be ox from the mean. (d) If many households are selected, the average number of computers per household is approximately Ox (e) It doesn't make sense to interpret , in this context because it isn't a whole number. 3. The standard deviation of X is (a) 1.64 (b) 1.28 (c) 1.50 (d) 1.32 (e) 1.50 4. If you were to randomly select households, what is the probability it would take exactly 10 selections to find one with 4 computers? (a) Approximately 0 (b) 0.04 (c) 0.035 d) 0.35 (e) Approximately 1 5. Roll a fair 6-sided die 9 times. The probability of getting exactly 2 fives in those 9 rolls is given by a. 2 6 16 b . 2 16 6 d. (2) (2)(6)