Question: A biased coin is tossed n times (each toss is independent) with probability h for heads. i. Give a formula to determine the smallest n

A biased coin is tossed n times (each toss is independent) with probability h for heads.

i. Give a formula to determine the smallest n that lets the probability of at least one head to be x.

ii. Using the formula from (i), determine the smallest n that lets the probability of at least one head to be in excess of 95%. 

iii. State any assumptions made for parts i. and ii.

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