Ihave two errands to take care of on campus. let x, and x, represent the times that it takes for the first and second errands, respectively. let x, the total time in minutes that i spend walking to and from my office and between the errands. suppose that x1, x2, x3, are independent and normally distributed with μ1.-15-g-4, μ2-5, σ2-1, μ3,-12, and o, 3. [6 points each 5.
(a) find the chance that the total time i am away from my office is less than 45 minutes, i. e. find p(x, + x2+ x, < 45).
(b) find the chance that the time i need for the first errand exceeds my walking-around time, s)i. e. find px, > hint -this is the same as finding px, -x, > 0).