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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 140 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 130 points. The probability is nothing. ​(Round to three decimal places as​ needed.) ​

b) Select a student at random from each school. Find the probability that the university A​ student's IQ is at least 10 points higher than the university B​ student's IQ. The probability is nothing. ​(Round to three decimal places as​ needed.) ​

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 nothing. ​(Round to three decimal places as​ needed.) ​

d) Also select 3 university A students at random.​ What's the probability that their average IQ is at least 10 points higher than the average for the 3 university B​ students? The probability is nothing. ​(Round to three decimal places as​ needed.)

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