Each day John performs the following experiment. He flips a fair coin repeatedly until he sees...

Each day John performs the following experiment. He flips a fair coin repeatedly until he sees a T and counts the number of coin flips needed.

(a) Approximate the probability that in a year there are at least 3 days when he needed more than 10 coin flips. Argue why this approximation is appropriate.

(b) Approximate the probability that in a year there are more than 50 days when he needed exactly 3 coin flips. Argue why this approximation is appropriate.

Solutions

Expert Solution

with continuity correction in (b), the probability is .26984.

For query in above, comment.

orchestra answered 1 year ago

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