Four runners, Andy, Bob, Chris and Dai, train to take part in a 1600 m relay race

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Four runners, Andy, Bob, Chris and Dai, train to take part in a 1600 m relay race in which Andy is to run 100 m, Bob 200 m, Chris 500 m and Dai 800 m. During training their individual times, recorded in seconds, follow normal distributions. With obvious notation, these are: A-N(10.8, 0.22), B-N(23.7, 0.32), C-N(62.8, 0.92) and D-N(121.2, 2.12). Find the probability that they run the relay race in less than 3 minutes 35 seconds.

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