2. In a survey, half of the students walk to school and the other half take the bus. Of the students who take the bus to school, 40% play sports. Complete the tree diagram and the calculation to find the probability below. 0.35. sports 0.5 walk0.65 • no sports P(plays sports and takes bus) = P(sports | bus) · P( - (0.4)( -sports bus no sports
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- Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is played in 44 states, Washington D.C., Puerto Rico, and the U.S. Virgin Islands. The game is played by drawing five white balls out of a drum of 69 white balls (numbered 1-69) and one red powerball out of a drum of 26 red balls (numbered 1-26). The jackpot is won by matching all five white balls in any order and the red powerball. (a) Find the possible number of winning Powerball numbers. (b) Find the possible number of winning Powerball numbers when you win the jackpot by matching all five white balls in order and the red powerball.A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?Suppose a researcher wants to see whether teaching students to read using a computer game gives better results than teaching with a tried-and-true phonics method. She randomly selects 20 students and puts them into 10 pairs according to their reading readiness level, age, IQ, and so on. She randomly selects one student from each pair to learn to read via the computer game, and the other learns to read using the phonics method. At the end of the study, each student takes the same reading test. The data are shown in the following table. Student Pair 1 2 3 4 5 6 7 8 9 10 Reading Score under Computer Method 85 80 95 87 78 82 57 69 73 99 Reading Score under phonics method 80 80 88 90 72 79 50 73 78 95 Test whether there is a significant difference between the computer method and the phonics method. If there is a significant difference, which particular method is better?
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