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Normal Distribution Continuous Random Variable problems

Normal Distribution Probability example question

The annual rainfall (in inches) in a certain region is normally distributed with = 40,  = 4. What is the probability that starting with this year, it will take over 10 years before a year occurs having a rainfall of over 50 inches?

 

Solution to this Normal Continuous Random Variable Distribution Probability practice problem is given in the video below!



Normal Distribution PERCENTILE Probability example problem

The measure of intelligence of a group of people is assumed to be approximately normally distributed with mean 102 and standard deviation 14. If we are told that Tom’s IQ denoted by xT is at the 98th percentile of the IQ distribution of the group of people, find xT.

 

Solution to this Normal Continuous Random Variable Distribution Probability practice problem is given in the video below!






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