The shelf life, in days, for bottles of a certain prescribed medicine is a random variable having the density function f(x)= 20,000 (x+100)3 , x > 0, 0, elsewhere.Find the probability that a bottle of this medicine will have a shell life of (a) at least 200 days; (b) anywhere from 80 to 120 days.
Modern Architecture No new style o Copies of old styles that they think are relevant Associative attitude o Associating styles to meaning o Roman to Republic o Greek to Democracy o Doesn't have to be exact just represent it Eclectic architecture o Mixed style of architecture o Have own interpretation of what Greek or renaissance, etc. meant Revivalism o Greek and Roman very prominent in US Used mostly for public buildings, government especially o Gothic Revival Used mostly for churches Pinnacle of Christian religion Used in schools Connected to the church a long time ago Some of the first hospitals (many had St. names) Now want new technology o Not baroque because it represents a monarchy New Industrialism o Pre-fabricated parts o Manufacturing is coming up with ways to make parts and replicate them o Growing demand for large public buildings Libraries, train stations o Iron, cast iron and wood o Things made in factories are not true Arts and craft style o Not reproduced elements o Everything is handmade Making unique shapes o English Country Home Real stone countertops not fake stone Everything is truthful Do not want them built by a factory Hand built with true material Has a romantic feel o US suburbs like this Green front lawns represent gardens Sustainable design- green architecture o Made the construction process evident Victorian: Queen Ann o Hodge podge put together o Rich upper class o Get bigger and bigger, mot austentacious o Mostly residential, few public buildings o Second empire- type of roof from France Frank Lloyd Wright o Most famous American architect in history (arguably) o Prairie style Hug the landscape Intertwine nature and architecture Intertwine interior and exterior spaces o Totally original and new style Original and creative o Rogie house (named after architects) o Some influence from Japan and Japanese architecture o Eliminate ornament and decoration Simplified them o Influenced by arts and crafts style Handmade Difference is he embraced both handmade and machine (mass produced) o Floorplans were unique for the time Started opening up spaces, open concept idea o Inventor of the ranch style home Whole style of architecture o Develop American architecture to develop forms derived from unique American circumstance First totally unique American feel o Response to sight and climate o Clarity of function and material and structure o Honest, straight forward architecture Big Inventions Elevator o Reasons high rise buildings were able to be created Possibly American idea Pure American architecture Steel frame o Helped with high rises also o Pure steel Automobile, radio, electric light and airplane o Rapid change in transportation o Infatuated with speed o Cars started to resemble airplanes Louis Sullivan Frank Lloyd Wight worked for him before going on his own Quoted "Form follows function" o Beauty follows function o If you build a perfectly functional building with it be beautiful on its own Build skyscrapers o Moved on from brick, said maybe it isn't appropriate for high rises His ornament is unique o Not classical, Greek or Roman o Organic, nature like Flower petals and leaves o Many made out of terracotta Says best designs are out of a cultural response to function Famous Buildings Flat Iron building o End almost looks like a column o Shaped in response to the site, triangular shape between 2 roads Chicago o Looks somewhat Roman but very distorted o Classical look Bauhaus o Walter Gropius o Originally a school for arts and crafts o Arts and crafts movement was ended with this Says schools should look like factories o Flat roof because they did not want any historic reference o International style- architecture for everyone Barcelona Pavilion o Torn down and rebuilt 50 years later o No historic reference o Everything is straight forward, straight or horizontal lines o Floor plan is very open Started with a grid and put everything on it o Wanted everything machine made and the grid made that easy Chrysler Building o New York o Art deco Based on the top of it Curved- streamline 1880-1914 1914: begin of WWI o Major event that changed architecture going forward o No longer want architectural remnants of Europe 1929: stock market crashes o Can no longer afford to build elaborate houses The Big 3 Said architecture should be for everyone o Everybody should have equal opportunity for architecture o Proletariat deserves it too o Simple so everyone can afford it o Architecture no longer based on history Saying they are looking for an international style Don’t like Frank Lloyd Wright o Because he wanted craftsmanship and detail Walter Gropius Ludwig Mies Van Der Rohe Le Corbusier Era of the Machine 1920-1930 Made in factories Art Deco Influenced by o Streamline transportation Metals were big o Archeology Specifically Egyptian archeology Metaphorical shapes not literal shapes like roadside Roadside Architecture Made to be seen easily while driving in a car Literal shapes not metaphorical like art deco Can be the actual building shape, the sign is the building, a sign on the building or a sign beside the building Is it good or bad o Can be both