please help im not sure where to start or go from these.

l. [6 marks] Determine whether the following integral is convergent or divergent. If the integral is convergent, compute its value. Show your work. 1 _/2(z:1)2dz 3. [10 marks] Recall Question #3, Lab Assignment 5, where the probability that it takes between a. and b minutes for a randomly selected customer at BYTE 75 Cafe to be served was given by: b P(a g T g b) = / at/4 dt Recall: Probabilities are values between 0 and 1. As an example, if a probability is equal to 0.35, that's equivalent to a 35% chance of occuring. (a) Determine the probability (to two decimal places) that it takes more than 5 minutes for a. randomly selected customer to be served. te_'/4dt. PIH (b) The average number of minutes that it takes for a randomly selected customer to be served is given by u. = f 0 Use integration by parts and L'Hospital's Rule to determine p