1. SAT math scores are normally distributed with a mean 525 and a standard deviation of...

1. SAT math scores are normally distributed with a mean 525 and a standard deviation of 102. In order to qualify for a college you are interested in attending your SAT math score must be in the highest 9.34% of all SAT scores. What is the minimum score you need on the SAT to qualify for the college?

2. If you get into this college you are interested in running for the track team. To qualify for the track team you must run in the fastest 4.75% of all runners of the mile. If the running of the mile is normally distributed with a mean of 6.02 minutes and a standard deviation of 1.32 minutes what is the maximum time you have to run the mile and still qualify for the team?

3. The time a cell phone lasts until it needs to be recharged is normally distributed with a mean of 14 hours and a standard deviation of 3 hours.

a) You have to have your cell phone work for 10 hours as you are going on a hike. What is the probability the cell phone will not make the 10 hours necessary? (in other words what % cell phones last 10 hours or less before needing to be recharged)?

b) What percent of cell phones last over 18 hours before they have to be recharged?

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Expert Solution

orchestra answered 11 months ago

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