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A fair coin is tossed 400 times. Find the half-width of the band that holds the share of heads in…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A fair coin is tossed times. Find the half-width of the band that holds the share of heads in about runs out of . Then give the lowest and highest share in the band, and the lowest and highest number of heads.
Need a reminder? The key ideaShow
In about runs out of , the share of successes in tries lands within of the probability . For a fair coin this is .
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The half-width. .
Step 2. The band of shares. and .
Step 3. The band of counts. and heads.
Answer: ; shares from to ; from to heads.
Check. The count can be heads away from . That is a lot of heads, but only of the tosses.
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