Question 1: The lifetime of a university laptop (in years) is exponentiallydistributml with parameter 1 A = 5. If the laptep has had a hardware update, this changes the parameter to )k = 73} Suppose that 30% of the lapLOpS have had a hardware update. (a) What is the expected lifetime of a randomly-chosen laptop? (b) Suppose you have a university laptop, and it is still functioning after three years. What is the probability that it had a hardware update, given that this is the ease? (C) Suppose you work at the IT help desk, and you've been keeping track of these data. You have a list of the lifetimes of the updated laptops. How would you verify that these. do actually have an exponential distribution with A