A) Display your student number and use it to create a probability measure giving digits at the same relative frequency as in your student number. {For example, suppose your student number is N = 2213, then the measure would assign a probability to each of the three digits in such a way that 2's are twice as likely as 'l's or 3's.) Call your probability measure PD ((1) B) State the sample space of your measure, 83. 0) State the probability measure P9051!) itself. D) Calculate the expected value of of the random variable D, E[D] . E) Calculate the expected value of the square of the random variable D, E[D2]. F) Choosing a digit at random using PD (0!) what is the probability that the digit is even? Note that the expected values of a discrete random variable D with sample space 83 and probability measure PD ((1) is E[D] = Z d PD(d). Likewise the second moment is ELDQ] = Z d.2 Pp(d). dESD dESD