Multiple choice. Circle all the correct answers 

a) You flip a coin 100,000 times and record the outcome in a random variable X such that Xi = 1 if the toss is “Heads” and 0 if its “Tails”. The Law of Large Numbers says that: 

i. It is impossible for the first n flips to all be “Heads” if n is large. 

ii. With high probability, the share of coin flips that are “Heads” will approximate 50%. 

iii. The sample mean of X is always 0.5 if the coin is fair, regardless of the number of times you flip the coin. 

iv. None of the above 

b. Which of the following statements are true: 

i. Type I error is the probability of rejecting the null when it is true 

ii. Type I error is the probability of not rejecting the null when it is true 

iii. Type II error is the probability of rejecting the null when it is false 

iv. Type II error is the probability of not rejecting the null when it is false 

Reserves borrowed at the federal funds rate are usually repaid.

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please follow the instructionThere are 9 questions,   The  2 qouestions in the top qoustions number 1 and number 2  please wirte them with  eassy style  each one with 1 page  total 2 pages and from 3 to 9 qoutions short answer please use 1 page to answer all of them  them please use esay vocablries for internatioal students  check gramer , format ,

P14.1 Game Theory ConceptsRecognize each of the following statements as being true or false and explain why.A. A set of strategies constitutes a Nash equilibrium if no player can improve their position given the strategies chosen by other players.B. A secure strategy is very conservative and should only be considered in the rival’s optimal strategy is identical.C. A dominant strategy is also a secure strategy, but every secure strategy is not necessarily a dominant strategy.D. In a one-shot game, the Nash equilibrium is also the best outcome that can be achieved under collusion.E. If a player has no dominant strategy, it pays to look at the game from the rival’s perspective and anticipate the rival choosing its dominant strategy.

Game Theory ConceptsRecognize each of the following statements as being true or false and explain why.A. A set of strategies constitutes a Nash equilibrium if no player can improve their position…