Assume that you are tossing a coin, which you think is fair, you score 1 when the coin gives tails, 0 otherwise.

1. What kind of random variable models the coin? Compute its expected value and standard deviation.

2. Assume now that out of 1, 000, 000 independent tosses we compute the number N of tails. What is the probability that N < 450000? (Note that we assume that the coin is fair. You should use the Central Limit Theorem approximation, as done in the lecture.)