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 ?
1
2. What is the expected value of X and variance of X ?
3. What is the approximate probability that X equals 35 ?
4. What is the approximate probability that X is less than 45 ?