A 1-dimensional random walk is an example of a binomail distribution, with a step either to the right or to the left being equally probable. Suppose out of N = 5 steps, x=3 steps are tot he right with p = 0.5 and q = 0.5. Answer the following questions:
- Use to find the number of steps to the right (of the total of 5 (3) steps.
- What is the probability that 3 steps are to the right?
- Calculate the mean number of steps to the right:
- Find the variance:
- What is the standard deviation.