(Solved): 5.36 To win a particular video game, one must successfully pass through three levels. The difficulty ...

5.36 To win a particular video game, one must successfully pass through three levels. The difficulty of passing through a level varies but tends to increase with level; that is, the difficulty of passing through level

is uniformly distributed on the interval

. Because she tends to improve as the game progresses, the player knows that she will pass the first level if the difficulty is less than 1.5 , the second level if the difficulty is less than 2.25 , and the third level if the difficulty is less than 2.75 . a What is the probability of passing through the first level? b What is the probability of passing through the second level given that the player passed through the first level? c What is probability of successfully passing through all three levels?