2. Compute and plot the binomial distributions when $n=4$ for (a) $p=\frac{1}{4}$, (b) $p=\frac{1}{2}$, (c) $p=\frac{3}{4}$.

Step 1 ：We are given that the number of trials, n, is 4. We are asked to compute and plot the binomial distributions for three different probabilities of success, p: 1/4, 1/2, and 3/4.

Step 2 ：The binomial distribution is a probability distribution that describes the number of successes in a sequence of n independent experiments. It is defined by two parameters: n (the number of trials) and p (the probability of success on each trial).

Step 3 ：We can use the scipy.stats library, which provides a function to compute the binomial distribution. We can then use matplotlib to plot the distributions.

Step 4 ：Let's denote the number of successes as x. The possible values of x are 0, 1, 2, 3, and 4.

Step 5 ：We plot the binomial distributions for p=1/4, p=1/2, and p=3/4. The number of successes is on the x-axis and the probability is on the y-axis.

Step 6 ：From the plot, we can observe that as the probability of success increases, the distribution shifts towards a higher number of successes. This is the final answer.