Question

The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that a person score would be grater than 140?

Answer 1

Solution :

Given ,

mean = = 100

standard deviation = = 15

P(x > 140 ) = 1 - P(x< 140 )

= 1 - P[(x -) / < ( 140 -100) /15 ]

= 1 - P(z <2.67)

Using z table

= 1 - 0.9962

= 0.0038

probability= 0.0038