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UEEIIUUUK: USE KEVLEW LillEClUJbil ,t'iih'L'dl. 5 Knowledge and Understandth 8: Steps for Binomial Theorem most importantly. 1. Given the following function: Pr( X = x)

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UEEIIUUUK: USE KEVLEW LillEClUJbil ,t'iih'L'dl. 5 Knowledge and Understandth 8: Steps for Binomial Theorem most importantly. 1. Given the following function: Pr( X = x) for the values x = , 1, 2, 3, 4, or 5. (a) Show the probability distribution in table form. (b) Calculate E(x) to 1 decimal place. (c) Why is this a proper probability distribution? 2. Answer the following about the 17' row (11 = 17) of Pascals Triangle: (a) How many numbers are in the 17\"] row? (b) What is the sum of the 17til row? (b) List the first 5 numbers of the 17'\"1 row( 11 = 17) from left to right. Give the numbers not just 9,95. (c) Using properties of the Pascal's Triangle give an equivalent single combination in the form or nm. (i) (ii) BONUS

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