The gaussian function p(x) = v2 73 is very important in probability and statistics. write a user-defined function (10 points) that takes as input the parameters x, u, and s and returns the value of the function evaluated for these parameters. you may use the numpy function numpy. exp() to calculate the exponential. then, write the programming commands (10 points) which call this function and plot it for x between -3 and 3 with u = 0 and s = 1 (for all values of x). be sure to label your axes and show the plot.

File account.java (see previous exercise) contains a definition for a simple bank account class with methods to withdraw, deposit, get the balance and account number, and return a string representation. note that the constructor for this class creates a random account number. save this class to your directory and study it to see how it works. then write the following additional code: 1. suppose the bank wants to keep track of how many accounts exist. a. declare a private static integer variable numaccounts to hold this value. like all instance and static variables, it will be initialized (to 0, since it’s an int) automatically. b. add code to the constructor to increment this variable every time an account is created. c. add a static method getnumaccounts that returns the total number of accounts. think about why this method should be static - its information is not related to any particular account. d. file testaccounts1.java contains a simple program that creates the specified number of bank accounts then uses the getnumaccounts method to find how many accounts were created. save it to your directory, then use it to test your modified account class.