1. According to a research, the probability of your date showing up on time for the first date is 0.7. Since possible outcomes are either "on time" or "not on time", the probability of being "not on time" is 1-P(on time) =1-.7=.3. For the second date, the probability of the same person showing up on time is .9 if he/she was on time for the first date. However, this probability is only .2 if he/she was not on time for the first date. c) Use the probability tree from Qla) in SCE 5 to construct a discrete probability distribution for the number of NOT showing up on time (for those two dates). d) From the discrete probability distribution you constructed in c), calculate the mean and variance of the number of NOT showing up on time (for those two dates)