53. IQs. Suppose that IQs of East State Universitys
Chapter 18, Problem 53(choose chapter or problem)
53. IQs. Suppose that IQs of East State Universitys studentscan be described by a Normal model with mean130 and standard deviation 8 points. Also suppose thatIQs of students from West State University can be describedby a Normal model with mean 120 and standarddeviation 10.a) We select a student at random from East State. Findthe probability that this students IQ is at least 125points.b) We select a student at random from each school. Findthe probability that the East State students IQ is atleast 5 points higher than the West State students IQ.c) We select 3 West State students at random. Find theprobability that this groups average IQ is at least 125points.d) We also select 3 East State students at random. Whatsthe probability that their average IQ is at least 5 pointshigher than the average for the 3 West Staters?
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