Answer to Question #148394 in Statistics and Probability for Abigail Pontillo

Question

Albus Severus Potter, a Physics Major, is a prolific and a Math genius of this university. If it is known
that Albus’ IQ belongs to the upper 1% of the student population, what is his minimum IQ? (Assume
normal IQ distribution, mean = 110, standard deviation = 10)

Answer 1

P(x>z) = 0.01

z = 2.326

X - minimum IQ

z=(X-$\mu$)/$\sigma$

X = z$\sigma$+$\mu$ = 2.326*10+110 = 133.3