Problem 10: consider a simple online auction system working as follows. there are n bidding agents; agent i has a bid bi which is a positive natural number. assume that all bids are distinct. the bidding agents appear in an order chosen uniformly at random, each proposes its bid bi in turn and at all times the system maintains a variable b ∗ equal to the highest bid seen so far (starting with b ∗ = 0 initially). what is the expected number of times b ∗ is updated when this process is executed, as a function of the parameters in the problem? example suppose b1 = 20, b2 = 25 and b3 = 10 and bidders arrive in the order 1, 3, 2. then b ∗ is updated for 1 and 2 but not for 3.

Working on this program in python 3.7: a year in the modern gregorian calendar consists of 365 days. in reality, the earth takes longer to rotate around the sun. to account for the difference in time, every 4 years, a leap year takes place. a leap year is when a year has 366 days: an extra day, february 29th. the requirements for a given year to be a leap year are: 1) the year must be divisible by 42) if the year is a century year (1700, 1800, the year must be evenly divisible by 400some example leap years are 1600, 1712, and 2016.write a program that takes in a year and determines whether that year is a leap year.ex: if the input is 1712, the output is: 1712 is a leap year. ex: if the input is 1913, the output is: 1913 is not a leap year. your program must define and call the function isleapyear(useryear). the function should return true if the input year is a leap year and false otherwise.

Why is hard disk space important to an audio engineer? why are usb ports and firewire ports useful for an audio engineer? explain in 2-3 sentences. (3.0 points) here's a list of different audio software: ableton live apple inc.'s garageband apple inc.'s logic studio digidesign's pro tools propellerhead sofware's reason sony creative software's acid pro steinberg cubase steinberg nuendo choose one of the software programs listed above, and then go to that software program's web site. read about what the software program is used for, and then write 4-5 sentences about what you learned. (10.0 points) which type of software license is the most limiting? why? explain in 2-3 sentences. (3.0 points) when sending a midi channel voice message, how can you control the volume of the sound? explain in 2-3 sentences. (4.0 points)

Which phrase is the best definition of a pivottable a a table containing data that is organized horizontally b a table used to calculate financial pivot values c a tool used to summarize data d a table containing specific formatting