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

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

A

$P(2\text{ or fewer heads}) = 0.304$

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

B

$P(2\text{ heads or fewer}) = 0.304$

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

C

$P(2\text{ heads or fewer}) = 0.1094$

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

D

$P(2\text{ heads or fewer}) = 0.1445$

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

E

$P(2\text{ heads or fewer}) = 0.0245$.

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

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