In the Powerball Lottery, 5 different numbers from 1 to 69 are selected. The order they’re selected doesn’t matter. (A 6th number, the red Powerball number is selected from the numbers 1 to 26 but this question only concerns the first 5 numbers selected.) Let X be the number of sets of two consecutive numbers in the 5 selected numbers. For example, X = 1 for 4 − 6 − 18 − 19 − 60 and X = 2 for both 5 − 12 − 13 − 47 − 48 and 5 − 12 − 13 − 14 − 48. The minimum possible value for X is 0, of course, and the maximum is 4. Remember, the order the numbers are drawn doesn’t matter so you will want to sort them a) Calculate E(X) using indicator variables.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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In the Powerball Lottery, 5 different numbers from 1 to 69 are selected. The order they’re selected doesn’t matter. (A 6th number, the red Powerball number is selected from the numbers 1 to 26 but this question only concerns the first 5 numbers selected.) Let X be the number of sets of two consecutive numbers in the 5 selected numbers. For example, X = 1 for 4 − 6 − 18 − 19 − 60 and X = 2 for both 5 − 12 − 13 − 47 − 48 and 5 − 12 − 13 − 14 − 48. The minimum possible value for X is 0, of course, and the maximum is 4. Remember, the order the numbers are drawn doesn’t matter so you will want to sort them

a) Calculate E(X) using indicator variables. 

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