There are 100 server administrators (sa) in a company, 70% are up to date with their security certification. data shows that if an sa is up to date with certification, there is just a 5% chance that the sa will make a security error. data also shows that if the sa is not up to date with certification, there is a 60% chance that the sa will make a security error let c stand for the event "up to date with certification" and let e stand for the event "makes a security error" construct a tree diagram to answer the questions below. use probability notation to answer the questions. for example, write "p(c ne)- " or "p(c|e-", etc. simplify your answers. for example: if an answer is .08/.36, then .222 is the simplified answer. a. insert a photo ofyour tree into your homework document. place all 6 probabilities and their values on the correct branch of the tree in order to get full credit. b. calculate the probability that if an sa is randomly selected, you will find that the sa is up to date with certification and has not made a security error. c. calculate the probability that if an sa is randomly selected, you will find that the sa is not up to date with certification and has made a security error. d. calculate the probability that if an sa is randomly selected, you will find that the sa has made a security error. (i. e. you ae being asked to "calculate the probability of a security error.") e. calculate the probability that if an sa is randomly selected from those who have made a security error, you will find that the sa is up to date with certification.