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A coin has been independently tossed for 1000 times and the number of heads observed has been 432. Find the maximum likelihood estimate of ,

A coin has been independently tossed for 1000 times and the number of heads observed has been 432.

  1. Find the maximum likelihood estimate of θ, the probability of observing head in one toss.
  2. Find the maximum likelihood estimate of the Fisher information I(θ).

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