Can someone please help with these 2 homework problems, thanks a lot!

4. Daenerys returns to King's Landing, almost. (Total 10 points) In an alternate universe of Game of Thrones (or A Song of Ice and Fire for fans ofthe books), Daenerys Targaryen is finally ready to leave Meereen and return to King's Landing. However, she does not know the way. From Meereen, if she goes East, she will wander around for 50 days in the Shadow Lands and return back to Meereen. If she goes West from Meereen, she will immediately arrive at the city of Mantarys. From Mantarys , she can go West by road or South via ship. If she goes South, her ship will get lost in the Smoking Sea and will be swept back to Meereen after 20 days. However, if she goes West from Mantarys, she will eventually reach King's Landing in 10 days. Let X denote the time spent by Daenerys before she reaches King's Landing. Assume that she is equally likely to take either of two paths when presented with a choice. (a) What is E[X]? (3 points) (b) What is Var[X]? (7 points) (Hint: Be careful with Var[)(]. You want to use conditioning.) 6. The loyal jPhone customer (Total 5 points) Assume an alternate universe where jPhone is a popular brand of smartphones with a loyal fan following. Every year, a new and more expensive version of jPhone is released, denoted by jPhone x for year x. Further assume that the cost oijhone x is Normally distributed with mean 10x, and variance x. As a loyal customer, you buy the latestjPhone version every year. After 10 years, however, you decide you have had enough. Let C denote the total money you have spentfwasted on the jPhone. (a) Express the cdf of C in terms of (b, the cdf of the standard normal. (3 points) (b) Let's say that realistically your expenditure is limited to the 75% of the pdf (symmetrically) around the mean of C. Then, what is the upper bound on the amount of money you could have wasted on the jPhones? First express your answer in terms 0f and then compute it numerically. (2 points)