Each round that was won by a biased coin flip where $1 would go to the winner. the coin flip was biased 2/3 towards me. what's the probability that you win the game by winning all of the money?

1/3

Step-by-step explanation:

The total probability of getting either a head or a tail after flipping a coin  = 1

And given that 2/3 has already been biased towards a person.  The probability that the other wins the game would simply be

1- 2/3 = 1/3. hence allowing the other person win the $1.

Null hypothesis:

Alternative hypothesis:

The alternative hypothesis for this case is that at least one mean is different from the others.

And the best method for this case is an ANOVA test.

Step-by-step explanation:

For this case we wnat to test if all the mean length of all face-to-face meetings and the mean length of all Zoom meetings are the same. So then the system of hypothesis are:

Null hypothesis:

Alternative hypothesis:

The alternative hypothesis for this case is that at least one mean is different from the others.

And the best method for this case is an ANOVA test.