Answer:
Step-by-step explanation:
The main idea is that I would like to pay less than what I'm expecting to win, so in that way, I get a profit out of playing this game. Let X be the number of tosses until I get a Heads. By definition, this is a geometric random variable with parameter p = 1/2.
Let Y the amount I received for playing. So, we want to calculate the expected value of Y.
We can calculate it as follows
Since X is a geometric random variable, we have that
Then,
So, we expect to have an infinite amount. Given this, we can pay as much as we want to play the game.
Valid means true, and voluntary means to offer without force. It honestly depends on whether the person providing the voluntary answer was telling the truth or not.
Answer: 96 feet
Step-by-step explanation:
Answer:
2pi
Step-by-step explanation:
period for sin is 2pi/b
its only x theres 1 before x so its 1x=b
2pi/1
= 2pi