HW1 - random with replacement what is the probability that...

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WEEK 1 Required reading and exercises READ Syllabus (posted on website) StatClass: Lesson 1.1 Exercises 1, 3, 5, 7, 9 Lesson 1.2 Exercises 1, 3, 5, 7, 9 Lesson 1.3 Exercises 1, 3, 5, 6 UNIT 1 SELF-ASSESSMENT QUIZ ------------------------------------ ADDITIONAL EXERCISES 1. A dresser drawer contains one pair of socks of each of the following colors: blue, brown, red, white and black. Each pair is folded together in matching pairs. You reach into the sock drawer and choose a pair of socks without looking. You make note of the color of the pair, put the pair back into the drawer, and then randomly choose another pair. What is the probability that you will choose the red pair of socks twice? ANSWER: 1/25 2. A school survey found that 9 out of 10 students like pizza. If three students are chosen at
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Unformatted text preview: random with replacement, what is the probability that all three students like pizza? ANSWER: 729/1000 3. You flip a fair coin 20 times in a row and it comes up heads every single time. You flip the coin one more time. What is the probability of tails on this last flip? (FOR THE ANSWER: Ask your TA) 4. Each of two boxes contains both red and blue marbles. One marble is drawn at random from a box (each marble in the box has an equal chance of being drawn). If it is red , you win $1. If it is blue , you win nothing. You can choose between the 2 boxes. a) Box A contains 3 red marbles and 2 blue ones b) Box B contains 30 red marbles and 20 blue ones Which box gives you a better chance of winning? (FOR THE ANSWER: Ask your TA) END OF WEEK 1 EXERCISES...
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