Question

the IQ of 600 police applicants are normally distributed with a mean of 115 and standard deviation of 12. If the police academy requires at least IQ of 95, how many will be admitted?

Answer 1

$$P(X\ge95)=1-P(Z<\dfrac{95-115}{12})\approx0.9522$$

$$0.9522(600)=571$$

571 police applicants