To estimate the proportion of left-handers in a population, 7 separate samples, each of size 400, will be taken at random from the population. For each of these seven samples, a 98% confidence interval will be calculated. What is the probability that the unknown proportion will be included in five or six of the seven confidence intervals to be calculated?

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