Answer:
61,239,550
Step-by-step explanation:
We let the random variable X denote the IQ scores. This would imply that X is normal with a mean of 100 and standard deviation of 17. We proceed to determine the probability that an individual chosen at random from the population would be a genius, that is;
Pr( X>140)
The next step is to evaluate the z-score associated with the IQ score of 140 by standardizing the random variable X;
[tex]Pr(X>140)=Pr(Z>\frac{140-100}{17})=Pr(Z>2.3529)[/tex]
The area to the right of 2.3529 will be the required probability. This area from the standard normal tables is 0.009314
From a population of 6,575,000,000 the number of geniuses would be;
6,575,000,000*0.009314 = 61,239,550
Answer:
61,805,000
Step-by-step explanation:
lets assume, no of geniuses = X
P(X > 140) = P(z > (140 - 100)/17)
        = P(z > 40/17) ⇒ P(z > 2.352)
1 - P(z < 2.352) = 1 - 0.9906 ⇒ 0.0094
The number of geniuses in the world today are:
0.0094 x 6,575,000,000 = 61,805,000
