Program A will run 20 algorithms in sequence, with the running time for each algorithm being independent and identically distributed random variables with mean = 50 seconds and variance = 100 seconds22. Program B will run 20 algorithms in sequence, with the running time for each algorithm being independent and identically distributed random variables with mean = 52 seconds and variance = 200 seconds22.   What is the approximate probability that Program A completes in less time than B? Give an answer to three decimal places.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Program A will run 20 algorithms in sequence, with the running time for each algorithm being independent and identically distributed random variables with mean = 50 seconds and variance = 100 seconds22. Program B will run 20 algorithms in sequence, with the running time for each algorithm being independent and identically distributed random variables with mean = 52 seconds and variance = 200 seconds22.

 

What is the approximate probability that Program A completes in less time than B? Give an answer to three decimal places.

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