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question 3. A coin has two sides, Heads and Tails. When flipped it comes up Heads...

question 3.

A coin has two sides, Heads and Tails. When flipped it comes up Heads with an unknown probability p and Tails with probability q = 1−p. Let ˆp be the proportion of times it comes up Heads after n flips. Using Normal approximation, find n so that |p−pˆ| ≤ 0.01 with probability approximately 95% (regardless of the actual value of p). You may use the following facts: Φ(−2, 2) = 95% pq ≤ 1/4 for any p ∈ [0, 1].

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