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.

You have recently been made a department head of the new regional office. in getting to know your departmental staff, you have noticed that one of your inexperienced employees is not following through on assigned tasks. she is enthused about her new job and wants to get ahead in the organization. which alternative represents the most effective leadership style: a. discuss the lack of follow-through with her and explore thealternative ways this problem can be solved. b. specify what she must do to complete the tasks but incorporate any suggestions she may have. c. define the steps necessary for her to complete the assigned tasks and monitor her performance frequently. d. let her know about the lack of follow-through and give hermore time to improve her performance.

Your own record of all your transactions. a. check register b. account statement

On december 31, 2016, the decarreau, andrew, and bui partnership had the following fiscal year-end balance sheet: cash $10,000accounts receivable $20,000inventory $25,000plant assets - net $30,000loan to decarreau $18,000total assets $103,000accounts payable $14,000loan from bui $15,000decarreaua, capital (20%) $32,000andrew, capital (10%) $23,000bui, capital (70%) $19,000total liab./equity $103,000the percentages shown are the residual profit and loss sharing ratios. the partners dissolved the partnership on january 1, 2017, and began the liquidation process. during july the following events occurred: * receivables of $18,000 were collected.* all inventory was sold for $15,000.*all available cash was distributed on january 31, except for$8,000 that was set aside for contingent expenses.the book value of the partnership equity (i.e., total equity of the partners) on december 31, 2016 isa. $58,000b. $71,000c. $66,000d. $81,000