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# Binomial Calculations: Tossing a Fair Coin

APSTAT-PYTVER

Suppose a fair coin is tossed $8$ times, and only $2$ of those tosses were heads.

Use binomial calculations to determine the probability of $2$ or fewer heads out of $8$ tosses, and determine if this gives appropriate evidence to suggest that the coin is unfair.

A

P($2$ or fewer heads) = $0.304$

Yes, this gives enough evidence to suggest that the coin is unfair

B

P($2$ heads or fewer) = $0.304$

No, this does not give enough evidence to suggest that the coin is unfair

C

P($2$ heads or fewer) = $0.1094$

No, this does not give enough evidence to suggest that the coin is unfair

D

P($2$ heads or fewer) = $0.1445$

No, this does not give enough evidence to suggest that the coin is unfair

E

P($2$ heads or fewer) = $0.0245$.

yes, this gives enough evidence to suggest that the coin is unfair