SOLUTION: Some psychologists believe that a genius should be defined as anyone having an IQ over 140. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 17

Question 1062482: Some psychologists believe that a genius should be defined as anyone having an IQ over 140. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 17 and if the population of the world is 6,575,000,000, how may geniuses are there in the world today? A.24,985,000 B.61,805,000 C.123,000 D.115,000 D.6,575,000
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(140-100)/17=
2.35.
Probability z>2.35 is (unrounded) =0.0093
Multiply that by 6,575,000,000
There would be 61,013,461. B is closest.
I do not get anything within 500,000 of B, however, no matter how I round.
RELATED QUESTIONS
IQ test scores are standardized to produce a normal distribution with a mean of u=100... (answered by ewatrrr)

IQ scores are normally distributed with a mean u=100 and a standard deviation o=15.... (answered by Nate)

IQ scores are normally distributed with a mean u=100 and a standard deviation o=15.... (answered by stanbon)

B)If IQ scores are normally distributed with a mean of 100 and a standard deviation of... (answered by ewatrrr)

Adult IQ scores are normally distributed with a mean of 100 and a standard deviation of... (answered by Boreal)

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If... (answered by stanbon,edjones)

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If... (answered by edjones)

if IQ scores are normally distributed with a mean of 100 and a standard deviation of 5,... (answered by robertb)

D)If IQ scores are normally distributed with a mean of 100 and a standard deviation of... (answered by ewatrrr)