Georgia Institute Of Technology ISYE 6644 EXTRA OFFICE HOUR – MIDTERM 1 SOLUTIONS

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ISYE 6644 EXTRA OFFICE HOUR – MIDTERM 1 SOLUTIONS (SORRY IN ADVANCE FOR MY LACK OF POWERPOINT SKILLS!) With only one server, customer arrivals will overwhelm the server and a queue WILL form. ... 10AM 11AM 1PM 2PM ??? ?, ? = ??? ?, ? 2 = ? ? 3 − ? ? ?[? 2 ] ? ? 3 = ׬−1 1 ? 3 1 2 ?? = 0; ? ? = ׬−1 1 ? 1 2 = 0 This leaves us with 0 − 0(? ? 2 ] = 0 *Extra example here; not needed to derive/calculate this to answer this question. The question was supposed to state “sum is less than or equal to 2” (or alternatively “sum is less than 3”). This would have made the correct answer to be FALSE because P(sum is less than or equal to 2)= 1 36 P(sum is greater than 11)= 1 36 P(sum is less than or equal to 2 AND sum is greater than 11)= 0 and then 0 ≠ 1 36 1 36 which means they are dependent. However, the way the question is worded, the P(sum is less than 2)= 0, so we would have 0 = 0 1 36 which means they are independent. P(Blue)=4 8 P(Red)= 2 8 P(Green)= 2 8 P(Blue, Green) = P(Blue)P(Green) = 4 8 × 2 8 = 8 64 = 1 8 [Show More]

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