Question

Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0. A random sample of 53 people is taken.

Step 1 of 2 :  

What is the probability of a random person on the street having an IQ score of less than 96? Round your answer to 44 decimal places, if necessary.

Answer 1

Solution :

Given that ,

= 100

= / n = 15 / 53 = 2.06

P( < 96) = P(( - ) / < (96 - 100) / 2.06)

= P(z < -1.94 )

Using z table

= 0.0262