$3\mathrm{.}6.$ Suppose that a data warehouse consists of the four dimensions date, spectator, location, and

game, and the two measures count and charge, where charge is the fare that a spectator pays when

watching a game on a given date. Spectators may be students, adults, or seniors, with each category

having its own charge rate.

$($a$)$ Draw a star schema diagram for the data warehouse.

$($b$)$ Starting with the base cuboid $[$date$,$ spectator, location, game$],$ what specific OLAP

operations should you perform in order to list the total charge paid by student spectators at

GM Place in $2010?$

$($c$)$ Bitmap indexing is useful in data warehousing. Taking this cube as an example, briefly discuss

advantages and problems of using a bitmap index structure.