Question
A company makes electronic random number generators. These should give 0 or 1 each with probability 1 , but due to a manufacturing defect, 2
A company makes electronic random number generators. These should give 0 or 1 each with probability 1 , but due to a manufacturing defect, 2 some proportion p of them always give 0. The company wants to estimate the proportion p by generating a total of 5,000 random numbers. It can allocate these rolls between any number of generators (but must decide how to allocate them before any of the rolls have taken place). If the true value of p is 0.05, how should the company allocate the random numbers to get most expected information. [You may assume that the estimated value of p is near enough to the true value that the true value may be used to estimate expected information.]
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