Using Python, make plots of the Poisson and Gaussian probability distributions on the same graph. Write your own definition of these distributions, don't just grab a function that produces the distribution. a) Make a plot where the mean of both distributions is 4 and the standard deviation is 2. Qualitatively summarize the differences between the curves. b) Make a new plot comparing the Poisson and Gaussian probability distributions when the mean is 25 and the standard deviation is 5. Describe when (how many counts?) it is a valid to approximate a Poisson distribution by a Gaussian distribution. Then compute the chi-squared and the reduced chi-squared value that compares your fit to the data. Use the table in Taylor tell whether this model appears to be a good fit to the data.