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Suppose that the IQs of university​ A's students can be described by a normal model with...

Suppose that the IQs of university​ A's students can be described by a normal model with mean 130 and standard deviation 8 points. Also, suppose that IQs of students from university B can be described by a normal model with mean 120 and standard deviation 11.

A)  Select a student at random from university A. Find the probability that the​ student's IQ is at least 125 points.

The probability is______?

B)  Select a student at random from each school. Find the probability that the university A​ student's IQ is at least 5 points higher than the university B​ student's IQ.
The probability is_____?

C)  Select 3 university B students at random. Find the probability that this​ group's average IQ is at least 125 points.
The probability is_____?

D)  Also, select 3 university A students at random.​ What's the probability that their average IQ is at least 5 points higher than the average for the 3 university B​ students?
The probability is_____?

Math   Statistics-And-Probability   
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