Mean is 100, standard deviation is 15, IQ values are 100, 120, 88, 92, 65.  What is probability in finding a person whos IQ is less than 90, more than 100 and betwen 90 and 100?

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Mean is 100, standard deviation is 15, IQ values are 100, 120, 88, 92, 65.  What is probability in finding a person whos IQ is less than 90, more than 100 and betwen 90 and 100?  How do I calculate this by hand, I cannot use a Z table so I need to know how to calculate like p(z<-.6667) by hand!

 

Expert Solution
Step 1

From the provided information,

Mean (µ) = 100

Standard deviation (σ) = 15

X~N (100, 15)

Here X be a random variable which represents the IQ level.

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