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MNS205 – HOMEWORK #9 9-1. In a family with 3 children, excluding multiple births, what is the probability of having 2 boys and 1 girl, in that order? Assume that a boy is as likely as a girl at each birth.[5 POINTS] 9-2. In a family with 3 children, excluding multiple births, what is the probability of having 2 boys and 1 girl, in any order? Assume that a boy is as likely as a girl at each birth.[5 POINTS] 9-3. An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space shown in Figure 2 (textbook p. 389) and assuming each simple event is as likely as any other, find the probability that the sum of the dots is not 2, 4, or 6.[5 POINTS] 9-4. In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 – 25. Compute the probability that the number drawn is less than 6 or greater than 19.[10 POINTS] 9-5. Use the equally likely sample space in Example 2 (textbook p. 401) to compute the probability of the following outcome when rolling a pair of dice: The number on the first die is even or the number on the second die is even.[10 POINTS] 9-6. a. Construct a frequency table and histogram for the following data set using a class interval width of 1, starting at 0.5. [15 POINTS] DATA: 6, 7,2, 7, 9, 6, 4, 7, 6, 6 b. Construct a frequency table and histogram for the following data set using a class interval width of 1, starting at 0.5. [15 POINTS] DATA: 5, 6, 8, 1, 3, 5, 10, 7, 6, 8 c. How are the histograms of parts (a) and (b) different?[10 POINTS] 9-7. Gasoline Tax. Find the mean, median, and mode for the data in the following table.[15 POINTS] State Gasoline Tax, 2007 State Tax (Cents) Wisconsin 32.9 New York 44.5 Connecticut Nebraska Kansas Texas California Florida 35.5 26.2 25 20 41.6 31.1 9-8. Find the standard deviation the following sample data using formula (4) (textbook p. 543.[10 POINTS] 1, 1, 1, 1, 2, 3, 4, 5, 5, 5 9-10. Solve the following linear programming problem. Maximize P = 30x + 40y subject to 2x + y ≤ 10 x + y ≤ 7 x + 2y ≤ 12 x, y ≥ 0 [20 POINTS] 9-11. A county park system rates its 20 golf courses in increasing order of difficulty as bronze, silver, or gold. There are only two gold courses and twice as many bronze as silver courses. a. If a golfer decides to play a round at a silver or gold course, how many selections are possible? [5 POINTS] b. If a golfer decides to play one round per week for 3 weeks, first on a bronze course, then silver, then gold, how many combined selections are possible? [5 POINTS]