1. SAT math scores are normally distributed with a mean 525 anda standard deviation of 102. In order to qualify for a college youare interested in attending your SAT math score must be in thehighest 9.34% of all SAT scores. What is the minimum score you needon the SAT to qualify for the college?
2. If you get into this college you are interested in runningfor the track team. To qualify for the track team you must run inthe fastest 4.75% of all runners of the mile. If the running of themile is normally distributed with a mean of 6.02 minutes and astandard deviation of 1.32 minutes what is the maximum time youhave to run the mile and still qualify for the team?
3. The time a cell phone lasts until it needs to be recharged isnormally distributed with a mean of 14 hours and a standarddeviation of 3 hours.
a) You have to have your cell phone work for 10 hours as you aregoing on a hike. What is the probability the cell phone will notmake the 10 hours necessary? (in other words what % cell phoneslast 10 hours or less before needing to be recharged)?
b) What percent of cell phones last over 18 hours before theyhave to be recharged?
