A weighted coin is flipped 200 times. Assume that the probability of a head is 0.3 and the probability of a tail is 0.7. Each flip is independent from the other flips. Let X be the total number of heads in the 200 flips.
1. What is the distribution of X ?
The distribution of X is a binomial distribution.
The distribution of X can be determined by using the binomial distribution. In this case, each flip is independent, and there are two possible outcomes (either a head or a tail) with different probabilities.
The binomial distribution has two parameters: n, the number of trials, and p, the probability of success (in this case, the probability of getting a head).
In this scenario, we have n = 200 (as there are 200 flips) and p = 0.3 (as the probability of getting a head is 0.3). Therefore, the distribution of X follows a binomial distribution with parameters n = 200 and p = 0.3.