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Problem 5. (12 points) In League of Legends (LOL), death occurs when a character takes sufficient damage and reduces his/her health to zero. Upon dying, the player must wait a given amount of time to revive the character, and a death timer is displayed. Based on conversations with other players, the death time seems to follow a lognormal distribution (that is, death time is Y, Y = ex, and X is normally distributed). As you are a player who wants to advance in the game further with better knowledge, let us assume the mean and the standard deviation of the timer is 90 seconds and 45 seconds, respectively, and figure out the following: a) What are the mean and standard deviation of the underneath X distribution? b) What is the chance that you only need to wait less than 60 sec to revive? c) You want to sneak out for a call. What is the chance that you will wait for more than 3 minutes? d) What is the 60" percentile of the wait time