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Question 5 (11 marks) So that her data is fair, Kellie wants to make sure she is randomly selecting people for her questionnaire. She puts

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Question 5 (11 marks) So that her data is fair, Kellie wants to make sure she is randomly selecting people for her questionnaire. She puts the numbers 1-5 in a bag. She then asks each student to draw out two numbers with replacement and records the sum of those two numbers. a) Represent the possible outcomes in the array below: 2 marks 1 st Number N 2nd Number M J J the b) How many possible outcomes are there? 1 mark 3 c) How many outcomes have a sum of 4? 1 mark m d) Find Pr(4) 1 mark X 3 e) Find Pr(sum is greater than 5) 1 mark 15/ 25= $15 Notation f) Find Pr(sum is less than 2) 1 mark 2 / 25 X g) Find n(even). 1 mark 10 /25: 75 X Kellie decides to give her questionnaire to any student who gets a total of at least 7. h ) Find Pr(at least 7) 1 mark 4 / 25 X i) If Kellie surveys 100 students, how many are expected to get questionnaires? 2 mar X

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