Answer to Question #290415 in Statistics and Probability for lusientoo

Question

Given a standard normal distribution with mean =60 and standard deviation = 35, find P(X<75)

Answer 1

$$P(X<75)=P(Z<\dfrac{75-60}{35})$$

$$=P(Z<\dfrac{3}{7})\approx P(Z<0.42857)$$

$$\approx0.665882$$