An atm personal identification number (pin) consists of four digits, each a 0, 1, 2, 8, or 9, in succession. (a) how many different possible pins are there if there are no restrictions on the choice of digits? pins (b) according to a representative at the author's local branch of chase bank, there are in fact restrictions on the choice of digits. the following choices are prohibited. all four digits identical sequences of four consecutive ascending or descending digits, such as 6543 any sequence starting with 19 (birth years are too easy to guess) so if one of the pins in (a) is randomly selected, what is the probability that it will be a legitimate pin (that is, not be one of the prohibited sequences)? (c) someone has stolen an atm card and knows that the first and last digits of the pin are 6 and 2, respectively. he has three tries before the card is retained by the atm (but does not realize that). so he randomly selects the 2nd and 3rd digits for the first try, then randomly selects a different pair of digits for the second try, and yet another randomly selected pair of digits for the third try (the individual knows about the restrictions described in (b) so selects only from the legitimate possibilities). what is the probability that the individual gains access to the account? (round your answer to four decimal places.) (d) recalculate the probability in (c) if the first and last digits are 1 and 1, respectively. (round your answer to four decimal places.)

Which basic economic questions deals with the issue of how the incomeof people in various occupations is determined

Each of the following scenarios is based on facts in anactual fraud. categorize each scenario as primarily indicating (1) anincentive to commit fraud, (2) an opportunity to commit fraud, or(3) a rationalization for committing fraud. also state your reasoningfor each scenario.a. there was intense pressure to keep the corporation ' stock from declining further. this pressure came from investors, analysts,and the ceo, whose financial well-being was significantly dependent on the corporation ' s stock price.b. a group of top-level management was compensated (mostly in the form of stock-options) well in excess of what would be considered normal for their positions in this industry.c. top management of the company closely guards internal financial information, to the extent that even some employees on a “need-to-know basis” are denied full access.d. managing specific financial ratios is very important to the company, and both management and analysts are keenly observant of variability in key ratios. key ratios for the company changed very little even though the ratios for the overall industry were quite volatile during the time period.e. in an effort to reduce certain accrued expenses to meet budget targets, the cfo directs the general accounting department to reallocate a division’s expenses by a significant amount. the general accounting department refuses to acquiesce to the request, but the journal entry is made trough the corporate office. an accountant in the general accounting department is uncomfortable with the journal entries required to reallocate divisional expenses. he brings his concerns to the cfo, who assures him that everything will be fine and that the entries are necessary. the accountant considers resigning, but he does not have another job lined up and is worried about supporting his family. therefore, he never voices his concerns to either the internal or external auditors.f. accounting records were either nonexistent or in a state of such disorganization that significant effort was required to locate or compile them.

What are the positive environmental trends seen today? many industries are taking measures to reduce the use( _gold,carbon dioxide,ozone_) of -depleting substances and are turning to(_scarce,renewable,non-recyclable_) energy sources though they may seem expensive. choose one of those 3 option to fill the