Question: 1. 5.31 Inorder to test a new pseudo-random number generator, we let it generate 100,000 random numbers. From this result, we go on to form

1. 5.31 Inorder to test a new pseudo-random number generator, we let it generate 100,000 random numbers. From this result, we go on to form a binary sequence in which the ith element will be equal to 0 if the ith randomly generated number is smaller than 1 2

, and will otherwise be equal to 1. The binary sequence turns out to consist of 49,487 runs. A run begins each time a number in the binary sequence differs from its direct predecessor. Do you trust the new random-number generator on the basis of this test outcome?

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