John and Beth plan to visit a bookstore. Based on their previous visits to this bookstore, the probability distributions for the numbe of'boks they will buy is given below. Number of books John wi buy Probability 0.50 0.100.250.15 Number ofbooks Beth will buy 023 Probability 025 0.45 0.10 020 Assuming that John and Beth mnke their decisions to purchase books independently, what is the probability that a total of 0 books are purchased? a) 0.8750 b)0.6250 c) 0.2500d) 0.1250

To find the extreme values of a function f(x.y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x,y)=xy