Suppose there is a very tight political race and we want to gauge support for candidate A. Let Mn = 21-1X; denote the proportion of polled people supporting candidate A and let p denote the true proportion. Further suppose we want to poll enough people to ensure that we are within +1% of p 95% of the time. Stated mathematically, we would like to find n such that: P(Mn - p > 0.01) < 0.05 (1) when E(Xi) = p. (a) Show that the variance of Bernoulli(p) is maximized when p=0.5.
(b) Using the worst-case variance from part a) and a Normal approximation, find the n such that (1) is satisfied.
(c) Again using the worst-case variance, use Chebychev's inequality to find a bound for n.

1. the political environment in india has proven to be critical to company performance for both pepsico and coca-cola india. what specific aspects of the political environment have played key roles? could these effects have been anticipated prior to market entry? if not, could developments in the political arena have been handled better by each company? 2. timing of entry into the indian market brought different results for pepsico and coca-cola india. what benefits or disadvantages accrued as a result of earlier or later market entry? 3. the indian market is enormous in terms of population and geography. how have the two companies responded to the sheer scale of operations in india in terms of product policies, promotional activities, pricing policies, and distribution arrangements? 4. “global localization” (glocalization) is a policy that both companies have implemented successfully. give examples for each company from the case.

Chuck, a single taxpayer, earns $80,750 in taxable income and $30,750 in interest from an investment in city of heflin bonds. (use the u.s. tax rate schedule.) (do not round intermediate calculations. round your answers to 2 decimal places.)

The state troopers in one state have a motto, “nine you’re fine; ten you’re mine,” which is the standard that they use for pulling over speeders on the state highways. in other words, if the posted speed limit is 55 mph, drivers can drive at a rate up to 64 mph without fear of getting a ticket. which of the following best describes the ethical culture in the state? a. the troopers are following a standard of positive law. b. the troopers are following a normative standard. c. the troopers are following a headline test. d. the troopers are following the blanchard/peale standard.